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Finding the Fourth Proportional to 192,854.72, 289,327.95 and 80,472.49

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Solution

The fourth proportional to 192,854.72, 289,327.95 and 80,472.49 is: 120,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,854.72 : 289,327.95 = 80,472.49 : x
  2. Step 2: Convert to fraction form
    192,854.72/289,327.95 = 80,472.49/x
  3. Step 3: Cross multiply
    192,854.72x = 289,327.95 × 80,472.49
  4. Step 4: Simplify right side
    192,854.72x = 23,282,939,839.78
  5. Step 5: Solve for x
    x = 23,282,939,839.78/192,854.72
  6. Step 6: Final answer
    x = 120,727.87

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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.