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Finding the Fourth Proportional to 205,879.36, 284,118.80 and 121,000.96

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Solution

The fourth proportional to 205,879.36, 284,118.80 and 121,000.96 is: 166,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,879.36 : 284,118.80 = 121,000.96 : x
  2. Step 2: Convert to fraction form
    205,879.36/284,118.80 = 121,000.96/x
  3. Step 3: Cross multiply
    205,879.36x = 284,118.80 × 121,000.96
  4. Step 4: Simplify right side
    205,879.36x = 34,378,647,554.05
  5. Step 5: Solve for x
    x = 34,378,647,554.05/205,879.36
  6. Step 6: Final answer
    x = 166,984.43

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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.