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Finding the Fourth Proportional to 263,419.92, 363,519.48 and 142,561.20

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Solution

The fourth proportional to 263,419.92, 363,519.48 and 142,561.20 is: 196,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,419.92 : 363,519.48 = 142,561.20 : x
  2. Step 2: Convert to fraction form
    263,419.92/363,519.48 = 142,561.20/x
  3. Step 3: Cross multiply
    263,419.92x = 363,519.48 × 142,561.20
  4. Step 4: Simplify right side
    263,419.92x = 51,823,773,292.18
  5. Step 5: Solve for x
    x = 51,823,773,292.18/263,419.92
  6. Step 6: Final answer
    x = 196,734.45

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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.