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Finding the Fourth Proportional to 180,781.20, 271,123.20 and 75,578.40

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Solution

The fourth proportional to 180,781.20, 271,123.20 and 75,578.40 is: 113,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,781.20 : 271,123.20 = 75,578.40 : x
  2. Step 2: Convert to fraction form
    180,781.20/271,123.20 = 75,578.40/x
  3. Step 3: Cross multiply
    180,781.20x = 271,123.20 × 75,578.40
  4. Step 4: Simplify right side
    180,781.20x = 20,491,057,658.88
  5. Step 5: Solve for x
    x = 20,491,057,658.88/180,781.20
  6. Step 6: Final answer
    x = 113,347.28

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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.