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Finding the Fourth Proportional to 113,841.50, 157,102.89 and 63,540.50

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Solution

The fourth proportional to 113,841.50, 157,102.89 and 63,540.50 is: 87,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,841.50 : 157,102.89 = 63,540.50 : x
  2. Step 2: Convert to fraction form
    113,841.50/157,102.89 = 63,540.50/x
  3. Step 3: Cross multiply
    113,841.50x = 157,102.89 × 63,540.50
  4. Step 4: Simplify right side
    113,841.50x = 9,982,396,182.05
  5. Step 5: Solve for x
    x = 9,982,396,182.05/113,841.50
  6. Step 6: Final answer
    x = 87,686.79

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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.