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Finding the Fourth Proportional to 269,138.24, 371,427.36 and 149,906.24

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Solution

The fourth proportional to 269,138.24, 371,427.36 and 149,906.24 is: 206,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,138.24 : 371,427.36 = 149,906.24 : x
  2. Step 2: Convert to fraction form
    269,138.24/371,427.36 = 149,906.24/x
  3. Step 3: Cross multiply
    269,138.24x = 371,427.36 × 149,906.24
  4. Step 4: Simplify right side
    269,138.24x = 55,679,278,970.73
  5. Step 5: Solve for x
    x = 55,679,278,970.73/269,138.24
  6. Step 6: Final answer
    x = 206,879.85

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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.