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Finding the Fourth Proportional to 263,057.60, 363,022.14 and 142,201.16

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Solution

The fourth proportional to 263,057.60, 363,022.14 and 142,201.16 is: 196,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,057.60 : 363,022.14 = 142,201.16 : x
  2. Step 2: Convert to fraction form
    263,057.60/363,022.14 = 142,201.16/x
  3. Step 3: Cross multiply
    263,057.60x = 363,022.14 × 142,201.16
  4. Step 4: Simplify right side
    263,057.60x = 51,622,169,413.68
  5. Step 5: Solve for x
    x = 51,622,169,413.68/263,057.60
  6. Step 6: Final answer
    x = 196,239.03

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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.