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Finding the Fourth Proportional to 167,198.92, 230,620.22 and 106,742.31

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Solution

The fourth proportional to 167,198.92, 230,620.22 and 106,742.31 is: 147,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198.92 : 230,620.22 = 106,742.31 : x
  2. Step 2: Convert to fraction form
    167,198.92/230,620.22 = 106,742.31/x
  3. Step 3: Cross multiply
    167,198.92x = 230,620.22 × 106,742.31
  4. Step 4: Simplify right side
    167,198.92x = 24,616,935,861.56
  5. Step 5: Solve for x
    x = 24,616,935,861.56/167,198.92
  6. Step 6: Final answer
    x = 147,231.43

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1.5x scale

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.