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Finding the Fourth Proportional to 263,751.44, 363,976.49 and 142,896

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Solution

The fourth proportional to 263,751.44, 363,976.49 and 142,896 is: 197,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,751.44 : 363,976.49 = 142,896 : x
  2. Step 2: Convert to fraction form
    263,751.44/363,976.49 = 142,896/x
  3. Step 3: Cross multiply
    263,751.44x = 363,976.49 × 142,896
  4. Step 4: Simplify right side
    263,751.44x = 52,010,784,872.28
  5. Step 5: Solve for x
    x = 52,010,784,872.28/263,751.44
  6. Step 6: Final answer
    x = 197,196.21

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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.