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Finding the Fourth Proportional to 164,388.71, 226,843.49 and 100,717.85

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Solution

The fourth proportional to 164,388.71, 226,843.49 and 100,717.85 is: 138,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,388.71 : 226,843.49 = 100,717.85 : x
  2. Step 2: Convert to fraction form
    164,388.71/226,843.49 = 100,717.85/x
  3. Step 3: Cross multiply
    164,388.71x = 226,843.49 × 100,717.85
  4. Step 4: Simplify right side
    164,388.71x = 22,847,188,599.30
  5. Step 5: Solve for x
    x = 22,847,188,599.30/164,388.71
  6. Step 6: Final answer
    x = 138,982.71

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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.