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Finding the Fourth Proportional to 136,049.92, 187,720.08 and 82,324.48

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Solution

The fourth proportional to 136,049.92, 187,720.08 and 82,324.48 is: 113,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,049.92 : 187,720.08 = 82,324.48 : x
  2. Step 2: Convert to fraction form
    136,049.92/187,720.08 = 82,324.48/x
  3. Step 3: Cross multiply
    136,049.92x = 187,720.08 × 82,324.48
  4. Step 4: Simplify right side
    136,049.92x = 15,453,957,971.56
  5. Step 5: Solve for x
    x = 15,453,957,971.56/136,049.92
  6. Step 6: Final answer
    x = 113,590.35

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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.