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Finding the Fourth Proportional to 263,618.82, 363,792.14 and 142,757.34

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Solution

The fourth proportional to 263,618.82, 363,792.14 and 142,757.34 is: 197,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,618.82 : 363,792.14 = 142,757.34 : x
  2. Step 2: Convert to fraction form
    263,618.82/363,792.14 = 142,757.34/x
  3. Step 3: Cross multiply
    263,618.82x = 363,792.14 × 142,757.34
  4. Step 4: Simplify right side
    263,618.82x = 51,933,998,219.31
  5. Step 5: Solve for x
    x = 51,933,998,219.31/263,618.82
  6. Step 6: Final answer
    x = 197,004.14

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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.