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Finding the Fourth Proportional to 206,214.26, 284,594.01 and 120,168.56

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Solution

The fourth proportional to 206,214.26, 284,594.01 and 120,168.56 is: 165,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,214.26 : 284,594.01 = 120,168.56 : x
  2. Step 2: Convert to fraction form
    206,214.26/284,594.01 = 120,168.56/x
  3. Step 3: Cross multiply
    206,214.26x = 284,594.01 × 120,168.56
  4. Step 4: Simplify right side
    206,214.26x = 34,199,252,627.18
  5. Step 5: Solve for x
    x = 34,199,252,627.18/206,214.26
  6. Step 6: Final answer
    x = 165,843.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.