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Finding the Fourth Proportional to 263,510.14, 363,643.92 and 142,651.34

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Solution

The fourth proportional to 263,510.14, 363,643.92 and 142,651.34 is: 196,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,510.14 : 363,643.92 = 142,651.34 : x
  2. Step 2: Convert to fraction form
    263,510.14/363,643.92 = 142,651.34/x
  3. Step 3: Cross multiply
    263,510.14x = 363,643.92 × 142,651.34
  4. Step 4: Simplify right side
    263,510.14x = 51,874,292,470.85
  5. Step 5: Solve for x
    x = 51,874,292,470.85/263,510.14
  6. Step 6: Final answer
    x = 196,858.81

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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.