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Finding the Fourth Proportional to 129,337.29, 194,006.02 and 35,843.04

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Solution

The fourth proportional to 129,337.29, 194,006.02 and 35,843.04 is: 53,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,337.29 : 194,006.02 = 35,843.04 : x
  2. Step 2: Convert to fraction form
    129,337.29/194,006.02 = 35,843.04/x
  3. Step 3: Cross multiply
    129,337.29x = 194,006.02 × 35,843.04
  4. Step 4: Simplify right side
    129,337.29x = 6,953,765,535.10
  5. Step 5: Solve for x
    x = 6,953,765,535.10/129,337.29
  6. Step 6: Final answer
    x = 53,764.58

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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.