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Finding the Fourth Proportional to 220,882.44, 304,821.18 and 120,280.44

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Solution

The fourth proportional to 220,882.44, 304,821.18 and 120,280.44 is: 165,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,882.44 : 304,821.18 = 120,280.44 : x
  2. Step 2: Convert to fraction form
    220,882.44/304,821.18 = 120,280.44/x
  3. Step 3: Cross multiply
    220,882.44x = 304,821.18 × 120,280.44
  4. Step 4: Simplify right side
    220,882.44x = 36,664,025,651.72
  5. Step 5: Solve for x
    x = 36,664,025,651.72/220,882.44
  6. Step 6: Final answer
    x = 165,988.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.