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Finding the Fourth Proportional to 138,833.52, 191,568.60 and 82,235.76

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Solution

The fourth proportional to 138,833.52, 191,568.60 and 82,235.76 is: 113,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,833.52 : 191,568.60 = 82,235.76 : x
  2. Step 2: Convert to fraction form
    138,833.52/191,568.60 = 82,235.76/x
  3. Step 3: Cross multiply
    138,833.52x = 191,568.60 × 82,235.76
  4. Step 4: Simplify right side
    138,833.52x = 15,753,789,413.14
  5. Step 5: Solve for x
    x = 15,753,789,413.14/138,833.52
  6. Step 6: Final answer
    x = 113,472.52

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1.5x scale

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.