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Finding the Fourth Proportional to 276,732.20, 415,098.30 and 164,757.80

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Solution

The fourth proportional to 276,732.20, 415,098.30 and 164,757.80 is: 247,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,732.20 : 415,098.30 = 164,757.80 : x
  2. Step 2: Convert to fraction form
    276,732.20/415,098.30 = 164,757.80/x
  3. Step 3: Cross multiply
    276,732.20x = 415,098.30 × 164,757.80
  4. Step 4: Simplify right side
    276,732.20x = 68,390,682,691.74
  5. Step 5: Solve for x
    x = 68,390,682,691.74/276,732.20
  6. Step 6: Final answer
    x = 247,136.70

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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.