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Finding the Fourth Proportional to 322,185.80, 482,882.31 and 132,527.95

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Solution

The fourth proportional to 322,185.80, 482,882.31 and 132,527.95 is: 198,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,185.80 : 482,882.31 = 132,527.95 : x
  2. Step 2: Convert to fraction form
    322,185.80/482,882.31 = 132,527.95/x
  3. Step 3: Cross multiply
    322,185.80x = 482,882.31 × 132,527.95
  4. Step 4: Simplify right side
    322,185.80x = 63,995,401,428.36
  5. Step 5: Solve for x
    x = 63,995,401,428.36/322,185.80
  6. Step 6: Final answer
    x = 198,628.87

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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.