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Finding the Fourth Proportional to 110,829.56, 166,034.12 and 65,755.71

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Solution

The fourth proportional to 110,829.56, 166,034.12 and 65,755.71 is: 98,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,829.56 : 166,034.12 = 65,755.71 : x
  2. Step 2: Convert to fraction form
    110,829.56/166,034.12 = 65,755.71/x
  3. Step 3: Cross multiply
    110,829.56x = 166,034.12 × 65,755.71
  4. Step 4: Simplify right side
    110,829.56x = 10,917,691,116.05
  5. Step 5: Solve for x
    x = 10,917,691,116.05/110,829.56
  6. Step 6: Final answer
    x = 98,508.84

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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.