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Finding the Fourth Proportional to 138,732.40, 208,060.20 and 55,634.80

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Solution

The fourth proportional to 138,732.40, 208,060.20 and 55,634.80 is: 83,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,732.40 : 208,060.20 = 55,634.80 : x
  2. Step 2: Convert to fraction form
    138,732.40/208,060.20 = 55,634.80/x
  3. Step 3: Cross multiply
    138,732.40x = 208,060.20 × 55,634.80
  4. Step 4: Simplify right side
    138,732.40x = 11,575,387,614.96
  5. Step 5: Solve for x
    x = 11,575,387,614.96/138,732.40
  6. Step 6: Final answer
    x = 83,436.80

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Why These Related Problems?

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