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Finding the Fourth Proportional to 206,037, 284,374.99 and 121,202.46

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Solution

The fourth proportional to 206,037, 284,374.99 and 121,202.46 is: 167,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,037 : 284,374.99 = 121,202.46 : x
  2. Step 2: Convert to fraction form
    206,037/284,374.99 = 121,202.46/x
  3. Step 3: Cross multiply
    206,037x = 284,374.99 × 121,202.46
  4. Step 4: Simplify right side
    206,037x = 34,466,948,350.48
  5. Step 5: Solve for x
    x = 34,466,948,350.48/206,037
  6. Step 6: Final answer
    x = 167,285.24

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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.