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Finding the Fourth Proportional to 129,702, 194,301.24 and 85,193.70

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Solution

The fourth proportional to 129,702, 194,301.24 and 85,193.70 is: 127,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,702 : 194,301.24 = 85,193.70 : x
  2. Step 2: Convert to fraction form
    129,702/194,301.24 = 85,193.70/x
  3. Step 3: Cross multiply
    129,702x = 194,301.24 × 85,193.70
  4. Step 4: Simplify right side
    129,702x = 16,553,241,550.19
  5. Step 5: Solve for x
    x = 16,553,241,550.19/129,702
  6. Step 6: Final answer
    x = 127,625.18

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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.