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Finding the Fourth Proportional to 206,578.44, 309,919.50 and 58,834.44

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Solution

The fourth proportional to 206,578.44, 309,919.50 and 58,834.44 is: 88,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.44 : 309,919.50 = 58,834.44 : x
  2. Step 2: Convert to fraction form
    206,578.44/309,919.50 = 58,834.44/x
  3. Step 3: Cross multiply
    206,578.44x = 309,919.50 × 58,834.44
  4. Step 4: Simplify right side
    206,578.44x = 18,233,939,933.41
  5. Step 5: Solve for x
    x = 18,233,939,933.41/206,578.44
  6. Step 6: Final answer
    x = 88,266.42

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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.