A perpetuity immediate has payments of $1,2,3,4,5,$dots,$n-1,n,n,n,n,n,n,$dotsdots Based on an annual effective interest rate is $5\mathrm{.}391\%,$ the present value for the perpetuity is $188\mathrm{.}7646069.$ Just after receiving payment number $n,$ the remaining payments for the perpetuity are exchanged for a five year annuity due that pays $70$ per year. The present value for the five year annuity is based on an annual effective interest rate of $i.$ Find $i.$