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Finding the Fourth Proportional to 206,798.40, 285,559.20 and 200,111.04

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Solution

The fourth proportional to 206,798.40, 285,559.20 and 200,111.04 is: 276,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,798.40 : 285,559.20 = 200,111.04 : x
  2. Step 2: Convert to fraction form
    206,798.40/285,559.20 = 200,111.04/x
  3. Step 3: Cross multiply
    206,798.40x = 285,559.20 × 200,111.04
  4. Step 4: Simplify right side
    206,798.40x = 57,143,548,493.57
  5. Step 5: Solve for x
    x = 57,143,548,493.57/206,798.40
  6. Step 6: Final answer
    x = 276,324.91

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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.