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Finding the Fourth Proportional to 165,057.71, 227,779.86 and 89,606.21

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Solution

The fourth proportional to 165,057.71, 227,779.86 and 89,606.21 is: 123,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,057.71 : 227,779.86 = 89,606.21 : x
  2. Step 2: Convert to fraction form
    165,057.71/227,779.86 = 89,606.21/x
  3. Step 3: Cross multiply
    165,057.71x = 227,779.86 × 89,606.21
  4. Step 4: Simplify right side
    165,057.71x = 20,410,488,830.03
  5. Step 5: Solve for x
    x = 20,410,488,830.03/165,057.71
  6. Step 6: Final answer
    x = 123,656.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.