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Finding the Fourth Proportional to 263,843.80, 396,057.30 and 164,116.60

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Solution

The fourth proportional to 263,843.80, 396,057.30 and 164,116.60 is: 246,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,843.80 : 396,057.30 = 164,116.60 : x
  2. Step 2: Convert to fraction form
    263,843.80/396,057.30 = 164,116.60/x
  3. Step 3: Cross multiply
    263,843.80x = 396,057.30 × 164,116.60
  4. Step 4: Simplify right side
    263,843.80x = 64,999,577,481.18
  5. Step 5: Solve for x
    x = 64,999,577,481.18/263,843.80
  6. Step 6: Final answer
    x = 246,356.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.