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Finding the Fourth Proportional to 102,138.72, 140,882.20 and 66,264.64

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Solution

The fourth proportional to 102,138.72, 140,882.20 and 66,264.64 is: 91,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,138.72 : 140,882.20 = 66,264.64 : x
  2. Step 2: Convert to fraction form
    102,138.72/140,882.20 = 66,264.64/x
  3. Step 3: Cross multiply
    102,138.72x = 140,882.20 × 66,264.64
  4. Step 4: Simplify right side
    102,138.72x = 9,335,508,265.41
  5. Step 5: Solve for x
    x = 9,335,508,265.41/102,138.72
  6. Step 6: Final answer
    x = 91,400.29

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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.