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Finding the Fourth Proportional to 83,101.92, 114,640.76 and 60,405.72

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Solution

The fourth proportional to 83,101.92, 114,640.76 and 60,405.72 is: 83,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.92 : 114,640.76 = 60,405.72 : x
  2. Step 2: Convert to fraction form
    83,101.92/114,640.76 = 60,405.72/x
  3. Step 3: Cross multiply
    83,101.92x = 114,640.76 × 60,405.72
  4. Step 4: Simplify right side
    83,101.92x = 6,924,957,649.15
  5. Step 5: Solve for x
    x = 6,924,957,649.15/83,101.92
  6. Step 6: Final answer
    x = 83,330.90

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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.