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Finding the Fourth Proportional to 206,138.35, 309,251.67 and 63,980.65

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Solution

The fourth proportional to 206,138.35, 309,251.67 and 63,980.65 is: 95,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,138.35 : 309,251.67 = 63,980.65 : x
  2. Step 2: Convert to fraction form
    206,138.35/309,251.67 = 63,980.65/x
  3. Step 3: Cross multiply
    206,138.35x = 309,251.67 × 63,980.65
  4. Step 4: Simplify right side
    206,138.35x = 19,786,122,860.19
  5. Step 5: Solve for x
    x = 19,786,122,860.19/206,138.35
  6. Step 6: Final answer
    x = 95,984.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.