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Finding the Fourth Proportional to 233,569.86, 321,306.39 and 204,759.78

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Solution

The fourth proportional to 233,569.86, 321,306.39 and 204,759.78 is: 281,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,569.86 : 321,306.39 = 204,759.78 : x
  2. Step 2: Convert to fraction form
    233,569.86/321,306.39 = 204,759.78/x
  3. Step 3: Cross multiply
    233,569.86x = 321,306.39 × 204,759.78
  4. Step 4: Simplify right side
    233,569.86x = 65,790,625,728.99
  5. Step 5: Solve for x
    x = 65,790,625,728.99/233,569.86
  6. Step 6: Final answer
    x = 281,674.30

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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.