An annuity paying $$1400$ at the end of each month $($except for a smaller final payment$)$ was purchased with $$225,000$ that had accumulated in an RRSP$.$ The annuity provides a semiannually compounded rate of return of $5\mathrm{.}2\%.$ Using$/$demonstrating the Retrospective Method, Calculate the Balance at the $137$th payment? show calculations and please do not use AI