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Finding the Fourth Proportional to 263,510.19, 363,644.17 and 142,651.47

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Solution

The fourth proportional to 263,510.19, 363,644.17 and 142,651.47 is: 196,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,510.19 : 363,644.17 = 142,651.47 : x
  2. Step 2: Convert to fraction form
    263,510.19/363,644.17 = 142,651.47/x
  3. Step 3: Cross multiply
    263,510.19x = 363,644.17 × 142,651.47
  4. Step 4: Simplify right side
    263,510.19x = 51,874,373,589.21
  5. Step 5: Solve for x
    x = 51,874,373,589.21/263,510.19
  6. Step 6: Final answer
    x = 196,859.08

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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.