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Finding the Fourth Proportional to 129,096.76, 193,677.99 and 75,833.77

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Solution

The fourth proportional to 129,096.76, 193,677.99 and 75,833.77 is: 113,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,096.76 : 193,677.99 = 75,833.77 : x
  2. Step 2: Convert to fraction form
    129,096.76/193,677.99 = 75,833.77/x
  3. Step 3: Cross multiply
    129,096.76x = 193,677.99 × 75,833.77
  4. Step 4: Simplify right side
    129,096.76x = 14,687,332,147.72
  5. Step 5: Solve for x
    x = 14,687,332,147.72/129,096.76
  6. Step 6: Final answer
    x = 113,769.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.