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Finding the Fourth Proportional to 207,713.97, 311,570.97 and 49,942.41

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Solution

The fourth proportional to 207,713.97, 311,570.97 and 49,942.41 is: 74,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,713.97 : 311,570.97 = 49,942.41 : x
  2. Step 2: Convert to fraction form
    207,713.97/311,570.97 = 49,942.41/x
  3. Step 3: Cross multiply
    207,713.97x = 311,570.97 × 49,942.41
  4. Step 4: Simplify right side
    207,713.97x = 15,560,605,127.84
  5. Step 5: Solve for x
    x = 15,560,605,127.84/207,713.97
  6. Step 6: Final answer
    x = 74,913.62

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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.