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Finding the Fourth Proportional to 321,612.84, 482,384.97 and 132,092.82

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Solution

The fourth proportional to 321,612.84, 482,384.97 and 132,092.82 is: 198,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,612.84 : 482,384.97 = 132,092.82 : x
  2. Step 2: Convert to fraction form
    321,612.84/482,384.97 = 132,092.82/x
  3. Step 3: Cross multiply
    321,612.84x = 482,384.97 × 132,092.82
  4. Step 4: Simplify right side
    321,612.84x = 63,719,591,012.92
  5. Step 5: Solve for x
    x = 63,719,591,012.92/321,612.84
  6. Step 6: Final answer
    x = 198,125.15

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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.