Home / 206,546.08-309,781.84-54,744.16

Finding the Fourth Proportional to 206,546.08, 309,781.84 and 54,744.16

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Solution

The fourth proportional to 206,546.08, 309,781.84 and 54,744.16 is: 82,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,546.08 : 309,781.84 = 54,744.16 : x
  2. Step 2: Convert to fraction form
    206,546.08/309,781.84 = 54,744.16/x
  3. Step 3: Cross multiply
    206,546.08x = 309,781.84 × 54,744.16
  4. Step 4: Simplify right side
    206,546.08x = 16,958,746,614.05
  5. Step 5: Solve for x
    x = 16,958,746,614.05/206,546.08
  6. Step 6: Final answer
    x = 82,106.36

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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.