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Finding the Fourth Proportional to 205,974.50, 284,249.14 and 116,550.50

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Solution

The fourth proportional to 205,974.50, 284,249.14 and 116,550.50 is: 160,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,974.50 : 284,249.14 = 116,550.50 : x
  2. Step 2: Convert to fraction form
    205,974.50/284,249.14 = 116,550.50/x
  3. Step 3: Cross multiply
    205,974.50x = 284,249.14 × 116,550.50
  4. Step 4: Simplify right side
    205,974.50x = 33,129,379,391.57
  5. Step 5: Solve for x
    x = 33,129,379,391.57/205,974.50
  6. Step 6: Final answer
    x = 160,842.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.