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Finding the Fourth Proportional to 274,894.97, 412,304.18 and 75,232.80

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Solution

The fourth proportional to 274,894.97, 412,304.18 and 75,232.80 is: 112,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,894.97 : 412,304.18 = 75,232.80 : x
  2. Step 2: Convert to fraction form
    274,894.97/412,304.18 = 75,232.80/x
  3. Step 3: Cross multiply
    274,894.97x = 412,304.18 × 75,232.80
  4. Step 4: Simplify right side
    274,894.97x = 31,018,797,536.94
  5. Step 5: Solve for x
    x = 31,018,797,536.94/274,894.97
  6. Step 6: Final answer
    x = 112,838.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.