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Finding the Fourth Proportional to 129,147.50, 193,729.44 and 34,376.13

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Solution

The fourth proportional to 129,147.50, 193,729.44 and 34,376.13 is: 51,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,147.50 : 193,729.44 = 34,376.13 : x
  2. Step 2: Convert to fraction form
    129,147.50/193,729.44 = 34,376.13/x
  3. Step 3: Cross multiply
    129,147.50x = 193,729.44 × 34,376.13
  4. Step 4: Simplify right side
    129,147.50x = 6,659,668,414.27
  5. Step 5: Solve for x
    x = 6,659,668,414.27/129,147.50
  6. Step 6: Final answer
    x = 51,566.38

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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.