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Finding the Fourth Proportional to 331,882, 497,872.92 and 107,167.12

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Solution

The fourth proportional to 331,882, 497,872.92 and 107,167.12 is: 160,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,882 : 497,872.92 = 107,167.12 : x
  2. Step 2: Convert to fraction form
    331,882/497,872.92 = 107,167.12/x
  3. Step 3: Cross multiply
    331,882x = 497,872.92 × 107,167.12
  4. Step 4: Simplify right side
    331,882x = 53,355,606,962.39
  5. Step 5: Solve for x
    x = 53,355,606,962.39/331,882
  6. Step 6: Final answer
    x = 160,766.80

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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.