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Finding the Fourth Proportional to 263,672.96, 363,866.48 and 142,811.44

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Solution

The fourth proportional to 263,672.96, 363,866.48 and 142,811.44 is: 197,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,672.96 : 363,866.48 = 142,811.44 : x
  2. Step 2: Convert to fraction form
    263,672.96/363,866.48 = 142,811.44/x
  3. Step 3: Cross multiply
    263,672.96x = 363,866.48 × 142,811.44
  4. Step 4: Simplify right side
    263,672.96x = 51,964,295,976.53
  5. Step 5: Solve for x
    x = 51,964,295,976.53/263,672.96
  6. Step 6: Final answer
    x = 197,078.59

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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.