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Finding the Fourth Proportional to 139,984.97, 193,182.92 and 86,305.46

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Solution

The fourth proportional to 139,984.97, 193,182.92 and 86,305.46 is: 119,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,984.97 : 193,182.92 = 86,305.46 : x
  2. Step 2: Convert to fraction form
    139,984.97/193,182.92 = 86,305.46/x
  3. Step 3: Cross multiply
    139,984.97x = 193,182.92 × 86,305.46
  4. Step 4: Simplify right side
    139,984.97x = 16,672,739,377.30
  5. Step 5: Solve for x
    x = 16,672,739,377.30/139,984.97
  6. Step 6: Final answer
    x = 119,103.79

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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.