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Finding the Fourth Proportional to 149,448, 206,238.24 and 82,381.44

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Solution

The fourth proportional to 149,448, 206,238.24 and 82,381.44 is: 113,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,448 : 206,238.24 = 82,381.44 : x
  2. Step 2: Convert to fraction form
    149,448/206,238.24 = 82,381.44/x
  3. Step 3: Cross multiply
    149,448x = 206,238.24 × 82,381.44
  4. Step 4: Simplify right side
    149,448x = 16,990,203,194.27
  5. Step 5: Solve for x
    x = 16,990,203,194.27/149,448
  6. Step 6: Final answer
    x = 113,686.39

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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.