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Finding the Fourth Proportional to 165,010.76, 227,714.76 and 89,559.24

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Solution

The fourth proportional to 165,010.76, 227,714.76 and 89,559.24 is: 123,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,010.76 : 227,714.76 = 89,559.24 : x
  2. Step 2: Convert to fraction form
    165,010.76/227,714.76 = 89,559.24/x
  3. Step 3: Cross multiply
    165,010.76x = 227,714.76 × 89,559.24
  4. Step 4: Simplify right side
    165,010.76x = 20,393,960,842.38
  5. Step 5: Solve for x
    x = 20,393,960,842.38/165,010.76
  6. Step 6: Final answer
    x = 123,591.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.