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Finding the Fourth Proportional to 129,645.20, 194,467.80 and 31,149.20

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Solution

The fourth proportional to 129,645.20, 194,467.80 and 31,149.20 is: 46,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,645.20 : 194,467.80 = 31,149.20 : x
  2. Step 2: Convert to fraction form
    129,645.20/194,467.80 = 31,149.20/x
  3. Step 3: Cross multiply
    129,645.20x = 194,467.80 × 31,149.20
  4. Step 4: Simplify right side
    129,645.20x = 6,057,515,423.42
  5. Step 5: Solve for x
    x = 6,057,515,423.42/129,645.20
  6. Step 6: Final answer
    x = 46,723.79

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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.