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Finding the Fourth Proportional to 149,291.52, 206,023.68 and 82,224

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Solution

The fourth proportional to 149,291.52, 206,023.68 and 82,224 is: 113,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,291.52 : 206,023.68 = 82,224 : x
  2. Step 2: Convert to fraction form
    149,291.52/206,023.68 = 82,224/x
  3. Step 3: Cross multiply
    149,291.52x = 206,023.68 × 82,224
  4. Step 4: Simplify right side
    149,291.52x = 16,940,091,064.32
  5. Step 5: Solve for x
    x = 16,940,091,064.32/149,291.52
  6. Step 6: Final answer
    x = 113,469.88

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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.