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Finding the Fourth Proportional to 206,150.40, 284,474.43 and 121,251.06

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Solution

The fourth proportional to 206,150.40, 284,474.43 and 121,251.06 is: 167,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,150.40 : 284,474.43 = 121,251.06 : x
  2. Step 2: Convert to fraction form
    206,150.40/284,474.43 = 121,251.06/x
  3. Step 3: Cross multiply
    206,150.40x = 284,474.43 × 121,251.06
  4. Step 4: Simplify right side
    206,150.40x = 34,492,826,180.40
  5. Step 5: Solve for x
    x = 34,492,826,180.40/206,150.40
  6. Step 6: Final answer
    x = 167,318.74

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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.