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Finding the Fourth Proportional to 149,296.24, 206,019.36 and 82,228.24

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Solution

The fourth proportional to 149,296.24, 206,019.36 and 82,228.24 is: 113,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,296.24 : 206,019.36 = 82,228.24 : x
  2. Step 2: Convert to fraction form
    149,296.24/206,019.36 = 82,228.24/x
  3. Step 3: Cross multiply
    149,296.24x = 206,019.36 × 82,228.24
  4. Step 4: Simplify right side
    149,296.24x = 16,940,609,378.73
  5. Step 5: Solve for x
    x = 16,940,609,378.73/149,296.24
  6. Step 6: Final answer
    x = 113,469.77

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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.