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Finding the Fourth Proportional to 109,469.92, 164,204.88 and 84,546.33

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Solution

The fourth proportional to 109,469.92, 164,204.88 and 84,546.33 is: 126,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,469.92 : 164,204.88 = 84,546.33 : x
  2. Step 2: Convert to fraction form
    109,469.92/164,204.88 = 84,546.33/x
  3. Step 3: Cross multiply
    109,469.92x = 164,204.88 × 84,546.33
  4. Step 4: Simplify right side
    109,469.92x = 13,882,919,972.09
  5. Step 5: Solve for x
    x = 13,882,919,972.09/109,469.92
  6. Step 6: Final answer
    x = 126,819.50

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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.