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Finding the Fourth Proportional to 148,974.19, 205,584.38 and 81,906.19

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Solution

The fourth proportional to 148,974.19, 205,584.38 and 81,906.19 is: 113,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,974.19 : 205,584.38 = 81,906.19 : x
  2. Step 2: Convert to fraction form
    148,974.19/205,584.38 = 81,906.19/x
  3. Step 3: Cross multiply
    148,974.19x = 205,584.38 × 81,906.19
  4. Step 4: Simplify right side
    148,974.19x = 16,838,632,672.97
  5. Step 5: Solve for x
    x = 16,838,632,672.97/148,974.19
  6. Step 6: Final answer
    x = 113,030.54

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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.