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Finding the Fourth Proportional to 275,710.97, 413,564.94 and 107,348.42

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Solution

The fourth proportional to 275,710.97, 413,564.94 and 107,348.42 is: 161,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,710.97 : 413,564.94 = 107,348.42 : x
  2. Step 2: Convert to fraction form
    275,710.97/413,564.94 = 107,348.42/x
  3. Step 3: Cross multiply
    275,710.97x = 413,564.94 × 107,348.42
  4. Step 4: Simplify right side
    275,710.97x = 44,395,543,910.31
  5. Step 5: Solve for x
    x = 44,395,543,910.31/275,710.97
  6. Step 6: Final answer
    x = 161,022.04

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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.