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Finding the Fourth Proportional to 149,906.56, 206,853.44 and 82,834.56

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Solution

The fourth proportional to 149,906.56, 206,853.44 and 82,834.56 is: 114,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,906.56 : 206,853.44 = 82,834.56 : x
  2. Step 2: Convert to fraction form
    149,906.56/206,853.44 = 82,834.56/x
  3. Step 3: Cross multiply
    149,906.56x = 206,853.44 × 82,834.56
  4. Step 4: Simplify right side
    149,906.56x = 17,134,613,686.89
  5. Step 5: Solve for x
    x = 17,134,613,686.89/149,906.56
  6. Step 6: Final answer
    x = 114,301.96

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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.