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Finding the Fourth Proportional to 263,422.36, 363,523.30 and 142,563.77

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Solution

The fourth proportional to 263,422.36, 363,523.30 and 142,563.77 is: 196,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,422.36 : 363,523.30 = 142,563.77 : x
  2. Step 2: Convert to fraction form
    263,422.36/363,523.30 = 142,563.77/x
  3. Step 3: Cross multiply
    263,422.36x = 363,523.30 × 142,563.77
  4. Step 4: Simplify right side
    263,422.36x = 51,825,249,956.82
  5. Step 5: Solve for x
    x = 51,825,249,956.82/263,422.36
  6. Step 6: Final answer
    x = 196,738.24

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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.