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Finding the Fourth Proportional to 272,149.20, 408,223.80 and 82,609.20

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Solution

The fourth proportional to 272,149.20, 408,223.80 and 82,609.20 is: 123,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,149.20 : 408,223.80 = 82,609.20 : x
  2. Step 2: Convert to fraction form
    272,149.20/408,223.80 = 82,609.20/x
  3. Step 3: Cross multiply
    272,149.20x = 408,223.80 × 82,609.20
  4. Step 4: Simplify right side
    272,149.20x = 33,723,041,538.96
  5. Step 5: Solve for x
    x = 33,723,041,538.96/272,149.20
  6. Step 6: Final answer
    x = 123,913.80

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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.