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Finding the Fourth Proportional to 194,249.92, 291,304.56 and 67,854.88

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Solution

The fourth proportional to 194,249.92, 291,304.56 and 67,854.88 is: 101,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,249.92 : 291,304.56 = 67,854.88 : x
  2. Step 2: Convert to fraction form
    194,249.92/291,304.56 = 67,854.88/x
  3. Step 3: Cross multiply
    194,249.92x = 291,304.56 × 67,854.88
  4. Step 4: Simplify right side
    194,249.92x = 19,766,435,962.25
  5. Step 5: Solve for x
    x = 19,766,435,962.25/194,249.92
  6. Step 6: Final answer
    x = 101,757.76

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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.