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Finding the Fourth Proportional to 206,919.80, 310,379.70 and 82,260.80

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Solution

The fourth proportional to 206,919.80, 310,379.70 and 82,260.80 is: 123,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,919.80 : 310,379.70 = 82,260.80 : x
  2. Step 2: Convert to fraction form
    206,919.80/310,379.70 = 82,260.80/x
  3. Step 3: Cross multiply
    206,919.80x = 310,379.70 × 82,260.80
  4. Step 4: Simplify right side
    206,919.80x = 25,532,082,425.76
  5. Step 5: Solve for x
    x = 25,532,082,425.76/206,919.80
  6. Step 6: Final answer
    x = 123,391.20

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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.