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Finding the Fourth Proportional to 263,422.92, 363,523.62 and 142,564.20

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Solution

The fourth proportional to 263,422.92, 363,523.62 and 142,564.20 is: 196,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,422.92 : 363,523.62 = 142,564.20 : x
  2. Step 2: Convert to fraction form
    263,422.92/363,523.62 = 142,564.20/x
  3. Step 3: Cross multiply
    263,422.92x = 363,523.62 × 142,564.20
  4. Step 4: Simplify right side
    263,422.92x = 51,825,454,066.40
  5. Step 5: Solve for x
    x = 51,825,454,066.40/263,422.92
  6. Step 6: Final answer
    x = 196,738.59

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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.