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Finding the Fourth Proportional to 272,553.76, 408,844.78 and 82,999.48

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Solution

The fourth proportional to 272,553.76, 408,844.78 and 82,999.48 is: 124,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,553.76 : 408,844.78 = 82,999.48 : x
  2. Step 2: Convert to fraction form
    272,553.76/408,844.78 = 82,999.48/x
  3. Step 3: Cross multiply
    272,553.76x = 408,844.78 × 82,999.48
  4. Step 4: Simplify right side
    272,553.76x = 33,933,904,140.71
  5. Step 5: Solve for x
    x = 33,933,904,140.71/272,553.76
  6. Step 6: Final answer
    x = 124,503.53

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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.