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Finding the Fourth Proportional to 148,963.71, 205,570.80 and 80,981.22

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Solution

The fourth proportional to 148,963.71, 205,570.80 and 80,981.22 is: 111,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,963.71 : 205,570.80 = 80,981.22 : x
  2. Step 2: Convert to fraction form
    148,963.71/205,570.80 = 80,981.22/x
  3. Step 3: Cross multiply
    148,963.71x = 205,570.80 × 80,981.22
  4. Step 4: Simplify right side
    148,963.71x = 16,647,374,180.38
  5. Step 5: Solve for x
    x = 16,647,374,180.38/148,963.71
  6. Step 6: Final answer
    x = 111,754.56

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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.