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Finding the Fourth Proportional to 192,549.15, 288,583.16 and 132,909.66

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Solution

The fourth proportional to 192,549.15, 288,583.16 and 132,909.66 is: 199,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,549.15 : 288,583.16 = 132,909.66 : x
  2. Step 2: Convert to fraction form
    192,549.15/288,583.16 = 132,909.66/x
  3. Step 3: Cross multiply
    192,549.15x = 288,583.16 × 132,909.66
  4. Step 4: Simplify right side
    192,549.15x = 38,355,489,012.78
  5. Step 5: Solve for x
    x = 38,355,489,012.78/192,549.15
  6. Step 6: Final answer
    x = 199,198.43

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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.