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Finding the Fourth Proportional to 205,879.80, 284,100.93 and 115,220.46

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Solution

The fourth proportional to 205,879.80, 284,100.93 and 115,220.46 is: 158,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,879.80 : 284,100.93 = 115,220.46 : x
  2. Step 2: Convert to fraction form
    205,879.80/284,100.93 = 115,220.46/x
  3. Step 3: Cross multiply
    205,879.80x = 284,100.93 × 115,220.46
  4. Step 4: Simplify right side
    205,879.80x = 32,734,239,841.03
  5. Step 5: Solve for x
    x = 32,734,239,841.03/205,879.80
  6. Step 6: Final answer
    x = 158,996.85

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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.