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Finding the Fourth Proportional to 80,257.44, 120,385.60 and 62,742

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Solution

The fourth proportional to 80,257.44, 120,385.60 and 62,742 is: 94,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,257.44 : 120,385.60 = 62,742 : x
  2. Step 2: Convert to fraction form
    80,257.44/120,385.60 = 62,742/x
  3. Step 3: Cross multiply
    80,257.44x = 120,385.60 × 62,742
  4. Step 4: Simplify right side
    80,257.44x = 7,553,233,315.20
  5. Step 5: Solve for x
    x = 7,553,233,315.20/80,257.44
  6. Step 6: Final answer
    x = 94,112.56

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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.