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Finding the Fourth Proportional to 138,932.72, 191,640.84 and 82,304

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Solution

The fourth proportional to 138,932.72, 191,640.84 and 82,304 is: 113,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,932.72 : 191,640.84 = 82,304 : x
  2. Step 2: Convert to fraction form
    138,932.72/191,640.84 = 82,304/x
  3. Step 3: Cross multiply
    138,932.72x = 191,640.84 × 82,304
  4. Step 4: Simplify right side
    138,932.72x = 15,772,807,695.36
  5. Step 5: Solve for x
    x = 15,772,807,695.36/138,932.72
  6. Step 6: Final answer
    x = 113,528.39

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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.