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Finding the Fourth Proportional to 206,494.20, 284,431.05 and 145,960.78

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Solution

The fourth proportional to 206,494.20, 284,431.05 and 145,960.78 is: 201,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,494.20 : 284,431.05 = 145,960.78 : x
  2. Step 2: Convert to fraction form
    206,494.20/284,431.05 = 145,960.78/x
  3. Step 3: Cross multiply
    206,494.20x = 284,431.05 × 145,960.78
  4. Step 4: Simplify right side
    206,494.20x = 41,515,778,100.92
  5. Step 5: Solve for x
    x = 41,515,778,100.92/206,494.20
  6. Step 6: Final answer
    x = 201,050.57

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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.