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Finding the Fourth Proportional to 207,757.92, 311,412.24 and 82,961.76

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Solution

The fourth proportional to 207,757.92, 311,412.24 and 82,961.76 is: 124,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,757.92 : 311,412.24 = 82,961.76 : x
  2. Step 2: Convert to fraction form
    207,757.92/311,412.24 = 82,961.76/x
  3. Step 3: Cross multiply
    207,757.92x = 311,412.24 × 82,961.76
  4. Step 4: Simplify right side
    207,757.92x = 25,835,307,515.94
  5. Step 5: Solve for x
    x = 25,835,307,515.94/207,757.92
  6. Step 6: Final answer
    x = 124,352.94

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1.5x scale

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.