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Finding the Fourth Proportional to 136,051.92, 187,722.84 and 82,326.48

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Solution

The fourth proportional to 136,051.92, 187,722.84 and 82,326.48 is: 113,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,051.92 : 187,722.84 = 82,326.48 : x
  2. Step 2: Convert to fraction form
    136,051.92/187,722.84 = 82,326.48/x
  3. Step 3: Cross multiply
    136,051.92x = 187,722.84 × 82,326.48
  4. Step 4: Simplify right side
    136,051.92x = 15,454,560,632.80
  5. Step 5: Solve for x
    x = 15,454,560,632.80/136,051.92
  6. Step 6: Final answer
    x = 113,593.11

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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.