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Finding the Fourth Proportional to 142,757.90, 214,136.85 and 83,660.30

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Solution

The fourth proportional to 142,757.90, 214,136.85 and 83,660.30 is: 125,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,757.90 : 214,136.85 = 83,660.30 : x
  2. Step 2: Convert to fraction form
    142,757.90/214,136.85 = 83,660.30/x
  3. Step 3: Cross multiply
    142,757.90x = 214,136.85 × 83,660.30
  4. Step 4: Simplify right side
    142,757.90x = 17,914,753,112.06
  5. Step 5: Solve for x
    x = 17,914,753,112.06/142,757.90
  6. Step 6: Final answer
    x = 125,490.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.