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Finding the Fourth Proportional to 149,296.92, 206,029.75 and 82,228.92

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Solution

The fourth proportional to 149,296.92, 206,029.75 and 82,228.92 is: 113,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,296.92 : 206,029.75 = 82,228.92 : x
  2. Step 2: Convert to fraction form
    149,296.92/206,029.75 = 82,228.92/x
  3. Step 3: Cross multiply
    149,296.92x = 206,029.75 × 82,228.92
  4. Step 4: Simplify right side
    149,296.92x = 16,941,604,396.55
  5. Step 5: Solve for x
    x = 16,941,604,396.55/149,296.92
  6. Step 6: Final answer
    x = 113,475.91

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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.