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Finding the Fourth Proportional to 206,490.16, 284,921.88 and 121,624.12

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Solution

The fourth proportional to 206,490.16, 284,921.88 and 121,624.12 is: 167,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,490.16 : 284,921.88 = 121,624.12 : x
  2. Step 2: Convert to fraction form
    206,490.16/284,921.88 = 121,624.12/x
  3. Step 3: Cross multiply
    206,490.16x = 284,921.88 × 121,624.12
  4. Step 4: Simplify right side
    206,490.16x = 34,653,372,923.75
  5. Step 5: Solve for x
    x = 34,653,372,923.75/206,490.16
  6. Step 6: Final answer
    x = 167,820.94

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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.