1. **Problem Statement:** Solve for the periodic payment $R$ given the financial values and conditions implied by the amounts $899.33$, $50417.81$, $64470.82$, and $108994.24$. 2. **Understanding the Problem:** These values likely represent loan payments, principal amounts, or accumulated values over time. The goal is to find the periodic payment $R$ that satisfies the loan amortization or financial equation. 3. **Formula Used:** For loan amortization, the periodic payment $R$ can be found using the formula: $$ R = P \times \frac{r(1+r)^n}{(1+r)^n - 1} $$ where: - $P$ is the principal loan amount, - $r$ is the periodic interest rate, - $n$ is the total number of payments. 4. **Assumptions and Given Values:** Assuming: - $P = 108994.24$ (loan amount), - $R = 899.33$ (periodic payment), - $n$ and $r$ to be determined or given. 5. **Intermediate Work:** If $R$ is given and we want to find $r$ or $n$, rearrange the formula accordingly. For example, if $n$ is known, solve for $r$: $$ R = P \times \frac{r(1+r)^n}{(1+r)^n - 1} $$ Rearranged to isolate $r$ requires iterative or numerical methods. 6. **Explanation:** Since the problem does not specify $r$ or $n$, or what exactly to solve for, the key step is to identify which variable is unknown and apply the formula accordingly. 7. **Final Answer:** Without additional information, the periodic payment $R$ is $899.33$ as given, or can be computed using the formula above if $P$, $r$, and $n$ are known. Please provide more details if you want to solve for a specific variable.