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Finding the Fourth Proportional to 192,836.88, 288,756.90 and 133,049.70

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Solution

The fourth proportional to 192,836.88, 288,756.90 and 133,049.70 is: 199,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,836.88 : 288,756.90 = 133,049.70 : x
  2. Step 2: Convert to fraction form
    192,836.88/288,756.90 = 133,049.70/x
  3. Step 3: Cross multiply
    192,836.88x = 288,756.90 × 133,049.70
  4. Step 4: Simplify right side
    192,836.88x = 38,419,018,917.93
  5. Step 5: Solve for x
    x = 38,419,018,917.93/192,836.88
  6. Step 6: Final answer
    x = 199,230.66

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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.