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Finding the Fourth Proportional to 149,559.99, 206,383.46 and 82,493.43

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Solution

The fourth proportional to 149,559.99, 206,383.46 and 82,493.43 is: 113,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,559.99 : 206,383.46 = 82,493.43 : x
  2. Step 2: Convert to fraction form
    149,559.99/206,383.46 = 82,493.43/x
  3. Step 3: Cross multiply
    149,559.99x = 206,383.46 × 82,493.43
  4. Step 4: Simplify right side
    149,559.99x = 17,025,279,098.20
  5. Step 5: Solve for x
    x = 17,025,279,098.20/149,559.99
  6. Step 6: Final answer
    x = 113,835.79

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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.