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Finding the Fourth Proportional to 339,877.24, 509,517.78 and 129,375.16

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Solution

The fourth proportional to 339,877.24, 509,517.78 and 129,375.16 is: 193,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,877.24 : 509,517.78 = 129,375.16 : x
  2. Step 2: Convert to fraction form
    339,877.24/509,517.78 = 129,375.16/x
  3. Step 3: Cross multiply
    339,877.24x = 509,517.78 × 129,375.16
  4. Step 4: Simplify right side
    339,877.24x = 65,918,944,310.34
  5. Step 5: Solve for x
    x = 65,918,944,310.34/339,877.24
  6. Step 6: Final answer
    x = 193,949.28

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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.