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Finding the Fourth Proportional to 275,886.60, 413,987.03 and 107,385.13

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Solution

The fourth proportional to 275,886.60, 413,987.03 and 107,385.13 is: 161,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,886.60 : 413,987.03 = 107,385.13 : x
  2. Step 2: Convert to fraction form
    275,886.60/413,987.03 = 107,385.13/x
  3. Step 3: Cross multiply
    275,886.60x = 413,987.03 × 107,385.13
  4. Step 4: Simplify right side
    275,886.60x = 44,456,051,034.86
  5. Step 5: Solve for x
    x = 44,456,051,034.86/275,886.60
  6. Step 6: Final answer
    x = 161,138.86

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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.