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Finding the Fourth Proportional to 205,372.09, 284,863.41 and 199,910.06

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Solution

The fourth proportional to 205,372.09, 284,863.41 and 199,910.06 is: 277,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,372.09 : 284,863.41 = 199,910.06 : x
  2. Step 2: Convert to fraction form
    205,372.09/284,863.41 = 199,910.06/x
  3. Step 3: Cross multiply
    205,372.09x = 284,863.41 × 199,910.06
  4. Step 4: Simplify right side
    205,372.09x = 56,947,059,960.59
  5. Step 5: Solve for x
    x = 56,947,059,960.59/205,372.09
  6. Step 6: Final answer
    x = 277,287.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.