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Finding the Fourth Proportional to 129,872.97, 194,789.97 and 41,114.97

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Solution

The fourth proportional to 129,872.97, 194,789.97 and 41,114.97 is: 61,666.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,872.97 : 194,789.97 = 41,114.97 : x
  2. Step 2: Convert to fraction form
    129,872.97/194,789.97 = 41,114.97/x
  3. Step 3: Cross multiply
    129,872.97x = 194,789.97 × 41,114.97
  4. Step 4: Simplify right side
    129,872.97x = 8,008,783,772.85
  5. Step 5: Solve for x
    x = 8,008,783,772.85/129,872.97
  6. Step 6: Final answer
    x = 61,666.29

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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.