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Finding the Fourth Proportional to 199,658.81, 299,011.92 and 110,691.65

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Solution

The fourth proportional to 199,658.81, 299,011.92 and 110,691.65 is: 165,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,658.81 : 299,011.92 = 110,691.65 : x
  2. Step 2: Convert to fraction form
    199,658.81/299,011.92 = 110,691.65/x
  3. Step 3: Cross multiply
    199,658.81x = 299,011.92 × 110,691.65
  4. Step 4: Simplify right side
    199,658.81x = 33,098,121,299.41
  5. Step 5: Solve for x
    x = 33,098,121,299.41/199,658.81
  6. Step 6: Final answer
    x = 165,773.41

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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.