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Finding the Fourth Proportional to 263,216.92, 363,239.34 and 142,358.20

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Solution

The fourth proportional to 263,216.92, 363,239.34 and 142,358.20 is: 196,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,216.92 : 363,239.34 = 142,358.20 : x
  2. Step 2: Convert to fraction form
    263,216.92/363,239.34 = 142,358.20/x
  3. Step 3: Cross multiply
    263,216.92x = 363,239.34 × 142,358.20
  4. Step 4: Simplify right side
    263,216.92x = 51,710,098,992.02
  5. Step 5: Solve for x
    x = 51,710,098,992.02/263,216.92
  6. Step 6: Final answer
    x = 196,454.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.