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Finding the Fourth Proportional to 177,853.86, 266,761.13 and 44,734.16

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Solution

The fourth proportional to 177,853.86, 266,761.13 and 44,734.16 is: 67,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,853.86 : 266,761.13 = 44,734.16 : x
  2. Step 2: Convert to fraction form
    177,853.86/266,761.13 = 44,734.16/x
  3. Step 3: Cross multiply
    177,853.86x = 266,761.13 × 44,734.16
  4. Step 4: Simplify right side
    177,853.86x = 11,933,335,514.43
  5. Step 5: Solve for x
    x = 11,933,335,514.43/177,853.86
  6. Step 6: Final answer
    x = 67,096.30

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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.