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Finding the Fourth Proportional to 275,711.13, 413,565.17 and 107,348.58

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Solution

The fourth proportional to 275,711.13, 413,565.17 and 107,348.58 is: 161,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,711.13 : 413,565.17 = 107,348.58 : x
  2. Step 2: Convert to fraction form
    275,711.13/413,565.17 = 107,348.58/x
  3. Step 3: Cross multiply
    275,711.13x = 413,565.17 × 107,348.58
  4. Step 4: Simplify right side
    275,711.13x = 44,395,633,736.96
  5. Step 5: Solve for x
    x = 44,395,633,736.96/275,711.13
  6. Step 6: Final answer
    x = 161,022.28

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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.