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Finding the Fourth Proportional to 157,641.30, 217,540.89 and 86,022.18

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Solution

The fourth proportional to 157,641.30, 217,540.89 and 86,022.18 is: 118,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,641.30 : 217,540.89 = 86,022.18 : x
  2. Step 2: Convert to fraction form
    157,641.30/217,540.89 = 86,022.18/x
  3. Step 3: Cross multiply
    157,641.30x = 217,540.89 × 86,022.18
  4. Step 4: Simplify right side
    157,641.30x = 18,713,341,596.94
  5. Step 5: Solve for x
    x = 18,713,341,596.94/157,641.30
  6. Step 6: Final answer
    x = 118,708.37

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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.