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Finding the Fourth Proportional to 224,524.31, 336,957.77 and 82,504.17

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Solution

The fourth proportional to 224,524.31, 336,957.77 and 82,504.17 is: 123,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,524.31 : 336,957.77 = 82,504.17 : x
  2. Step 2: Convert to fraction form
    224,524.31/336,957.77 = 82,504.17/x
  3. Step 3: Cross multiply
    224,524.31x = 336,957.77 × 82,504.17
  4. Step 4: Simplify right side
    224,524.31x = 27,800,421,345.16
  5. Step 5: Solve for x
    x = 27,800,421,345.16/224,524.31
  6. Step 6: Final answer
    x = 123,819.21

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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.