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Finding the Fourth Proportional to 192,193.83, 288,291.77 and 126,052.80

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Solution

The fourth proportional to 192,193.83, 288,291.77 and 126,052.80 is: 189,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,193.83 : 288,291.77 = 126,052.80 : x
  2. Step 2: Convert to fraction form
    192,193.83/288,291.77 = 126,052.80/x
  3. Step 3: Cross multiply
    192,193.83x = 288,291.77 × 126,052.80
  4. Step 4: Simplify right side
    192,193.83x = 36,339,984,195.19
  5. Step 5: Solve for x
    x = 36,339,984,195.19/192,193.83
  6. Step 6: Final answer
    x = 189,079.87

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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.