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Finding the Fourth Proportional to 206,145.30, 284,474.79 and 121,268.10

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Solution

The fourth proportional to 206,145.30, 284,474.79 and 121,268.10 is: 167,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,145.30 : 284,474.79 = 121,268.10 : x
  2. Step 2: Convert to fraction form
    206,145.30/284,474.79 = 121,268.10/x
  3. Step 3: Cross multiply
    206,145.30x = 284,474.79 × 121,268.10
  4. Step 4: Simplify right side
    206,145.30x = 34,497,717,281.20
  5. Step 5: Solve for x
    x = 34,497,717,281.20/206,145.30
  6. Step 6: Final answer
    x = 167,346.61

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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.