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Finding the Fourth Proportional to 259,672.80, 389,509.20 and 82,193.70

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Solution

The fourth proportional to 259,672.80, 389,509.20 and 82,193.70 is: 123,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,672.80 : 389,509.20 = 82,193.70 : x
  2. Step 2: Convert to fraction form
    259,672.80/389,509.20 = 82,193.70/x
  3. Step 3: Cross multiply
    259,672.80x = 389,509.20 × 82,193.70
  4. Step 4: Simplify right side
    259,672.80x = 32,015,202,332.04
  5. Step 5: Solve for x
    x = 32,015,202,332.04/259,672.80
  6. Step 6: Final answer
    x = 123,290.55

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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.