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Finding the Fourth Proportional to 115,591.68, 173,486.34 and 82,393.02

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Solution

The fourth proportional to 115,591.68, 173,486.34 and 82,393.02 is: 123,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,591.68 : 173,486.34 = 82,393.02 : x
  2. Step 2: Convert to fraction form
    115,591.68/173,486.34 = 82,393.02/x
  3. Step 3: Cross multiply
    115,591.68x = 173,486.34 × 82,393.02
  4. Step 4: Simplify right side
    115,591.68x = 14,294,063,481.35
  5. Step 5: Solve for x
    x = 14,294,063,481.35/115,591.68
  6. Step 6: Final answer
    x = 123,659.97

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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.