Michael Wittry has been investing in his Roth IRA retirement account for $24$ years. Four

years ago, his account was worth $$215,601.$ After losing $\frac{1}{3}$ of its original value, it then

gained $\frac{1}{2}$ of its new value back. What is the current value of his Roth IRA? $($Do not

round intermediate calculations.$)$