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Finding the Fourth Proportional to 98,251.52, 135,449.81 and 83,083.31

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Solution

The fourth proportional to 98,251.52, 135,449.81 and 83,083.31 is: 114,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,251.52 : 135,449.81 = 83,083.31 : x
  2. Step 2: Convert to fraction form
    98,251.52/135,449.81 = 83,083.31/x
  3. Step 3: Cross multiply
    98,251.52x = 135,449.81 × 83,083.31
  4. Step 4: Simplify right side
    98,251.52x = 11,253,618,553.67
  5. Step 5: Solve for x
    x = 11,253,618,553.67/98,251.52
  6. Step 6: Final answer
    x = 114,538.87

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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.