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Finding the Fourth Proportional to 206,466.60, 284,622.33 and 145,930.44

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Solution

The fourth proportional to 206,466.60, 284,622.33 and 145,930.44 is: 201,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,466.60 : 284,622.33 = 145,930.44 : x
  2. Step 2: Convert to fraction form
    206,466.60/284,622.33 = 145,930.44/x
  3. Step 3: Cross multiply
    206,466.60x = 284,622.33 × 145,930.44
  4. Step 4: Simplify right side
    206,466.60x = 41,535,061,850.73
  5. Step 5: Solve for x
    x = 41,535,061,850.73/206,466.60
  6. Step 6: Final answer
    x = 201,170.85

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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.