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Finding the Fourth Proportional to 192,337.20, 288,505.80 and 189,712.80

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Solution

The fourth proportional to 192,337.20, 288,505.80 and 189,712.80 is: 284,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,337.20 : 288,505.80 = 189,712.80 : x
  2. Step 2: Convert to fraction form
    192,337.20/288,505.80 = 189,712.80/x
  3. Step 3: Cross multiply
    192,337.20x = 288,505.80 × 189,712.80
  4. Step 4: Simplify right side
    192,337.20x = 54,733,243,134.24
  5. Step 5: Solve for x
    x = 54,733,243,134.24/192,337.20
  6. Step 6: Final answer
    x = 284,569.20

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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.