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Finding the Fourth Proportional to 138,002.40, 206,485.20 and 125,560.80

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Solution

The fourth proportional to 138,002.40, 206,485.20 and 125,560.80 is: 187,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,002.40 : 206,485.20 = 125,560.80 : x
  2. Step 2: Convert to fraction form
    138,002.40/206,485.20 = 125,560.80/x
  3. Step 3: Cross multiply
    138,002.40x = 206,485.20 × 125,560.80
  4. Step 4: Simplify right side
    138,002.40x = 25,926,446,900.16
  5. Step 5: Solve for x
    x = 25,926,446,900.16/138,002.40
  6. Step 6: Final answer
    x = 187,869.54

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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.