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Finding the Fourth Proportional to 206,074.26, 309,155.67 and 63,916.56

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Solution

The fourth proportional to 206,074.26, 309,155.67 and 63,916.56 is: 95,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,074.26 : 309,155.67 = 63,916.56 : x
  2. Step 2: Convert to fraction form
    206,074.26/309,155.67 = 63,916.56/x
  3. Step 3: Cross multiply
    206,074.26x = 309,155.67 × 63,916.56
  4. Step 4: Simplify right side
    206,074.26x = 19,760,166,930.90
  5. Step 5: Solve for x
    x = 19,760,166,930.90/206,074.26
  6. Step 6: Final answer
    x = 95,888.57

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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.