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Finding the Fourth Proportional to 207,930.80, 311,896.20 and 185,769.20

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Solution

The fourth proportional to 207,930.80, 311,896.20 and 185,769.20 is: 278,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930.80 : 311,896.20 = 185,769.20 : x
  2. Step 2: Convert to fraction form
    207,930.80/311,896.20 = 185,769.20/x
  3. Step 3: Cross multiply
    207,930.80x = 311,896.20 × 185,769.20
  4. Step 4: Simplify right side
    207,930.80x = 57,940,707,557.04
  5. Step 5: Solve for x
    x = 57,940,707,557.04/207,930.80
  6. Step 6: Final answer
    x = 278,653.80

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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.