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Finding the Fourth Proportional to 206,560.36, 284,892.60 and 149,414.05

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Solution

The fourth proportional to 206,560.36, 284,892.60 and 149,414.05 is: 206,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,560.36 : 284,892.60 = 149,414.05 : x
  2. Step 2: Convert to fraction form
    206,560.36/284,892.60 = 149,414.05/x
  3. Step 3: Cross multiply
    206,560.36x = 284,892.60 × 149,414.05
  4. Step 4: Simplify right side
    206,560.36x = 42,566,957,181.03
  5. Step 5: Solve for x
    x = 42,566,957,181.03/206,560.36
  6. Step 6: Final answer
    x = 206,075.15

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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.