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Finding the Fourth Proportional to 272,551.75, 408,841.77 and 82,997.47

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Solution

The fourth proportional to 272,551.75, 408,841.77 and 82,997.47 is: 124,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,551.75 : 408,841.77 = 82,997.47 : x
  2. Step 2: Convert to fraction form
    272,551.75/408,841.77 = 82,997.47/x
  3. Step 3: Cross multiply
    272,551.75x = 408,841.77 × 82,997.47
  4. Step 4: Simplify right side
    272,551.75x = 33,932,832,540.32
  5. Step 5: Solve for x
    x = 33,932,832,540.32/272,551.75
  6. Step 6: Final answer
    x = 124,500.51

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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.