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Finding the Fourth Proportional to 192,704.80, 289,057.20 and 52,463.20

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Solution

The fourth proportional to 192,704.80, 289,057.20 and 52,463.20 is: 78,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,704.80 : 289,057.20 = 52,463.20 : x
  2. Step 2: Convert to fraction form
    192,704.80/289,057.20 = 52,463.20/x
  3. Step 3: Cross multiply
    192,704.80x = 289,057.20 × 52,463.20
  4. Step 4: Simplify right side
    192,704.80x = 15,164,865,695.04
  5. Step 5: Solve for x
    x = 15,164,865,695.04/192,704.80
  6. Step 6: Final answer
    x = 78,694.80

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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.