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Finding the Fourth Proportional to 272,023.30, 408,092.55 and 82,468.10

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Solution

The fourth proportional to 272,023.30, 408,092.55 and 82,468.10 is: 123,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,023.30 : 408,092.55 = 82,468.10 : x
  2. Step 2: Convert to fraction form
    272,023.30/408,092.55 = 82,468.10/x
  3. Step 3: Cross multiply
    272,023.30x = 408,092.55 × 82,468.10
  4. Step 4: Simplify right side
    272,023.30x = 33,654,617,222.66
  5. Step 5: Solve for x
    x = 33,654,617,222.66/272,023.30
  6. Step 6: Final answer
    x = 123,719.61

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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.