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Finding the Fourth Proportional to 224,284.78, 336,425.56 and 82,139.80

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Solution

The fourth proportional to 224,284.78, 336,425.56 and 82,139.80 is: 123,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,284.78 : 336,425.56 = 82,139.80 : x
  2. Step 2: Convert to fraction form
    224,284.78/336,425.56 = 82,139.80/x
  3. Step 3: Cross multiply
    224,284.78x = 336,425.56 × 82,139.80
  4. Step 4: Simplify right side
    224,284.78x = 27,633,928,213.29
  5. Step 5: Solve for x
    x = 27,633,928,213.29/224,284.78
  6. Step 6: Final answer
    x = 123,209.11

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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.