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Finding the Fourth Proportional to 275,801.75, 413,726.42 and 76,122.14

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Solution

The fourth proportional to 275,801.75, 413,726.42 and 76,122.14 is: 114,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,801.75 : 413,726.42 = 76,122.14 : x
  2. Step 2: Convert to fraction form
    275,801.75/413,726.42 = 76,122.14/x
  3. Step 3: Cross multiply
    275,801.75x = 413,726.42 × 76,122.14
  4. Step 4: Simplify right side
    275,801.75x = 31,493,740,464.94
  5. Step 5: Solve for x
    x = 31,493,740,464.94/275,801.75
  6. Step 6: Final answer
    x = 114,189.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.