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Finding the Fourth Proportional to 113,524.38, 156,663.68 and 65,805.42

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Solution

The fourth proportional to 113,524.38, 156,663.68 and 65,805.42 is: 90,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,524.38 : 156,663.68 = 65,805.42 : x
  2. Step 2: Convert to fraction form
    113,524.38/156,663.68 = 65,805.42/x
  3. Step 3: Cross multiply
    113,524.38x = 156,663.68 × 65,805.42
  4. Step 4: Simplify right side
    113,524.38x = 10,309,319,261.15
  5. Step 5: Solve for x
    x = 10,309,319,261.15/113,524.38
  6. Step 6: Final answer
    x = 90,811.50

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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.