Dorothy plans to retire in $5$ years with $$429,000\mathrm{.}00$ in her account, which has an annual return of $6\mathrm{.}30$ percent. If she receives annual payments of X$,$ with her first payment of X received in $6$ years and her last payment of X received in $8$ years, then what is X$,$ the amount of each payment?

$$161,384\mathrm{.}71($plus or minus $10$ dollars$)$

$$117,269\mathrm{.}37($plus or minus $10$ dollars$)$

$$151,820\mathrm{.}05($plus or minus $10$ dollars$)$

$$124,657\mathrm{.}34($plus or minus $10$ dollars$)$

none of the answers are within $10$ dollars of the correct answer