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Finding the Fourth Proportional to 149,494.24, 206,292.24 and 82,426.72

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Solution

The fourth proportional to 149,494.24, 206,292.24 and 82,426.72 is: 113,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,494.24 : 206,292.24 = 82,426.72 : x
  2. Step 2: Convert to fraction form
    149,494.24/206,292.24 = 82,426.72/x
  3. Step 3: Cross multiply
    149,494.24x = 206,292.24 × 82,426.72
  4. Step 4: Simplify right side
    149,494.24x = 17,003,992,704.65
  5. Step 5: Solve for x
    x = 17,003,992,704.65/149,494.24
  6. Step 6: Final answer
    x = 113,743.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.