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Finding the Fourth Proportional to 224,077.20, 336,115.80 and 205,414.80

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Solution

The fourth proportional to 224,077.20, 336,115.80 and 205,414.80 is: 308,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,077.20 : 336,115.80 = 205,414.80 : x
  2. Step 2: Convert to fraction form
    224,077.20/336,115.80 = 205,414.80/x
  3. Step 3: Cross multiply
    224,077.20x = 336,115.80 × 205,414.80
  4. Step 4: Simplify right side
    224,077.20x = 69,043,159,833.84
  5. Step 5: Solve for x
    x = 69,043,159,833.84/224,077.20
  6. Step 6: Final answer
    x = 308,122.20

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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.