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Finding the Fourth Proportional to 129,902.36, 194,702.25 and 54,997.61

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Solution

The fourth proportional to 129,902.36, 194,702.25 and 54,997.61 is: 82,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902.36 : 194,702.25 = 54,997.61 : x
  2. Step 2: Convert to fraction form
    129,902.36/194,702.25 = 54,997.61/x
  3. Step 3: Cross multiply
    129,902.36x = 194,702.25 × 54,997.61
  4. Step 4: Simplify right side
    129,902.36x = 10,708,157,438.11
  5. Step 5: Solve for x
    x = 10,708,157,438.11/129,902.36
  6. Step 6: Final answer
    x = 82,432.36

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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.