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Finding the Fourth Proportional to 206,408.20, 284,859.84 and 121,541.80

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Solution

The fourth proportional to 206,408.20, 284,859.84 and 121,541.80 is: 167,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,408.20 : 284,859.84 = 121,541.80 : x
  2. Step 2: Convert to fraction form
    206,408.20/284,859.84 = 121,541.80/x
  3. Step 3: Cross multiply
    206,408.20x = 284,859.84 × 121,541.80
  4. Step 4: Simplify right side
    206,408.20x = 34,622,377,701.31
  5. Step 5: Solve for x
    x = 34,622,377,701.31/206,408.20
  6. Step 6: Final answer
    x = 167,737.41

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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.