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Finding the Fourth Proportional to 139,198.32, 192,091.68 and 81,844.25

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Solution

The fourth proportional to 139,198.32, 192,091.68 and 81,844.25 is: 112,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,198.32 : 192,091.68 = 81,844.25 : x
  2. Step 2: Convert to fraction form
    139,198.32/192,091.68 = 81,844.25/x
  3. Step 3: Cross multiply
    139,198.32x = 192,091.68 × 81,844.25
  4. Step 4: Simplify right side
    139,198.32x = 15,721,598,520.38
  5. Step 5: Solve for x
    x = 15,721,598,520.38/139,198.32
  6. Step 6: Final answer
    x = 112,943.88

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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.