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Finding the Fourth Proportional to 129,712.20, 194,414.70 and 54,832.20

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Solution

The fourth proportional to 129,712.20, 194,414.70 and 54,832.20 is: 82,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,712.20 : 194,414.70 = 54,832.20 : x
  2. Step 2: Convert to fraction form
    129,712.20/194,414.70 = 54,832.20/x
  3. Step 3: Cross multiply
    129,712.20x = 194,414.70 × 54,832.20
  4. Step 4: Simplify right side
    129,712.20x = 10,660,185,713.34
  5. Step 5: Solve for x
    x = 10,660,185,713.34/129,712.20
  6. Step 6: Final answer
    x = 82,183.37

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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.