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Finding the Fourth Proportional to 129,691.80, 194,625.24 and 50,796.24

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Solution

The fourth proportional to 129,691.80, 194,625.24 and 50,796.24 is: 76,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,691.80 : 194,625.24 = 50,796.24 : x
  2. Step 2: Convert to fraction form
    129,691.80/194,625.24 = 50,796.24/x
  3. Step 3: Cross multiply
    129,691.80x = 194,625.24 × 50,796.24
  4. Step 4: Simplify right side
    129,691.80x = 9,886,230,401.10
  5. Step 5: Solve for x
    x = 9,886,230,401.10/129,691.80
  6. Step 6: Final answer
    x = 76,228.65

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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.