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Finding the Fourth Proportional to 157,583.71, 217,468.61 and 85,966.39

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Solution

The fourth proportional to 157,583.71, 217,468.61 and 85,966.39 is: 118,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,583.71 : 217,468.61 = 85,966.39 : x
  2. Step 2: Convert to fraction form
    157,583.71/217,468.61 = 85,966.39/x
  3. Step 3: Cross multiply
    157,583.71x = 217,468.61 × 85,966.39
  4. Step 4: Simplify right side
    157,583.71x = 18,694,991,340.02
  5. Step 5: Solve for x
    x = 18,694,991,340.02/157,583.71
  6. Step 6: Final answer
    x = 118,635.30

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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.