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Finding the Fourth Proportional to 275,712.97, 413,567.94 and 107,350.42

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Solution

The fourth proportional to 275,712.97, 413,567.94 and 107,350.42 is: 161,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,712.97 : 413,567.94 = 107,350.42 : x
  2. Step 2: Convert to fraction form
    275,712.97/413,567.94 = 107,350.42/x
  3. Step 3: Cross multiply
    275,712.97x = 413,567.94 × 107,350.42
  4. Step 4: Simplify right side
    275,712.97x = 44,396,692,057.53
  5. Step 5: Solve for x
    x = 44,396,692,057.53/275,712.97
  6. Step 6: Final answer
    x = 161,025.04

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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.