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Finding the Fourth Proportional to 192,105.62, 288,195.78 and 73,768.26

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Solution

The fourth proportional to 192,105.62, 288,195.78 and 73,768.26 is: 110,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,105.62 : 288,195.78 = 73,768.26 : x
  2. Step 2: Convert to fraction form
    192,105.62/288,195.78 = 73,768.26/x
  3. Step 3: Cross multiply
    192,105.62x = 288,195.78 × 73,768.26
  4. Step 4: Simplify right side
    192,105.62x = 21,259,701,229.94
  5. Step 5: Solve for x
    x = 21,259,701,229.94/192,105.62
  6. Step 6: Final answer
    x = 110,666.73

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1.5x scale

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.