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Finding the Fourth Proportional to 207,712.97, 311,569.46 and 49,941.43

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Solution

The fourth proportional to 207,712.97, 311,569.46 and 49,941.43 is: 74,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,712.97 : 311,569.46 = 49,941.43 : x
  2. Step 2: Convert to fraction form
    207,712.97/311,569.46 = 49,941.43/x
  3. Step 3: Cross multiply
    207,712.97x = 311,569.46 × 49,941.43
  4. Step 4: Simplify right side
    207,712.97x = 15,560,224,376.73
  5. Step 5: Solve for x
    x = 15,560,224,376.73/207,712.97
  6. Step 6: Final answer
    x = 74,912.15

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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.