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Finding the Fourth Proportional to 274,509,489.20, 411,764,233.80 and 92,754,042.80

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Solution

The fourth proportional to 274,509,489.20, 411,764,233.80 and 92,754,042.80 is: 139,131,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,509,489.20 : 411,764,233.80 = 92,754,042.80 : x
  2. Step 2: Convert to fraction form
    274,509,489.20/411,764,233.80 = 92,754,042.80/x
  3. Step 3: Cross multiply
    274,509,489.20x = 411,764,233.80 × 92,754,042.80
  4. Step 4: Simplify right side
    274,509,489.20x = 38,192,797,365,394,408
  5. Step 5: Solve for x
    x = 38,192,797,365,394,408/274,509,489.20
  6. Step 6: Final answer
    x = 139,131,064.20

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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.