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Finding the Fourth Proportional to 220,414.97, 303,891.09 and 142,753.44

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Solution

The fourth proportional to 220,414.97, 303,891.09 and 142,753.44 is: 196,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,414.97 : 303,891.09 = 142,753.44 : x
  2. Step 2: Convert to fraction form
    220,414.97/303,891.09 = 142,753.44/x
  3. Step 3: Cross multiply
    220,414.97x = 303,891.09 × 142,753.44
  4. Step 4: Simplify right side
    220,414.97x = 43,381,498,180.72
  5. Step 5: Solve for x
    x = 43,381,498,180.72/220,414.97
  6. Step 6: Final answer
    x = 196,817.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.