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Finding the Fourth Proportional to 149,324.07, 206,067.21 and 82,256.07

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Solution

The fourth proportional to 149,324.07, 206,067.21 and 82,256.07 is: 113,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,324.07 : 206,067.21 = 82,256.07 : x
  2. Step 2: Convert to fraction form
    149,324.07/206,067.21 = 82,256.07/x
  3. Step 3: Cross multiply
    149,324.07x = 206,067.21 × 82,256.07
  4. Step 4: Simplify right side
    149,324.07x = 16,950,278,850.46
  5. Step 5: Solve for x
    x = 16,950,278,850.46/149,324.07
  6. Step 6: Final answer
    x = 113,513.37

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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.