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Finding the Fourth Proportional to 496,029.76, 743,909.47 and 136,115.28

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Solution

The fourth proportional to 496,029.76, 743,909.47 and 136,115.28 is: 204,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,029.76 : 743,909.47 = 136,115.28 : x
  2. Step 2: Convert to fraction form
    496,029.76/743,909.47 = 136,115.28/x
  3. Step 3: Cross multiply
    496,029.76x = 743,909.47 × 136,115.28
  4. Step 4: Simplify right side
    496,029.76x = 101,257,445,463.41
  5. Step 5: Solve for x
    x = 101,257,445,463.41/496,029.76
  6. Step 6: Final answer
    x = 204,135.83

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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.