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Finding the Fourth Proportional to 263,394.67, 363,481.88 and 142,533.31

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Solution

The fourth proportional to 263,394.67, 363,481.88 and 142,533.31 is: 196,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,394.67 : 363,481.88 = 142,533.31 : x
  2. Step 2: Convert to fraction form
    263,394.67/363,481.88 = 142,533.31/x
  3. Step 3: Cross multiply
    263,394.67x = 363,481.88 × 142,533.31
  4. Step 4: Simplify right side
    263,394.67x = 51,808,274,768.76
  5. Step 5: Solve for x
    x = 51,808,274,768.76/263,394.67
  6. Step 6: Final answer
    x = 196,694.47

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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.