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Finding the Fourth Proportional to 263,634.33, 363,813.54 and 142,772.85

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Solution

The fourth proportional to 263,634.33, 363,813.54 and 142,772.85 is: 197,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,634.33 : 363,813.54 = 142,772.85 : x
  2. Step 2: Convert to fraction form
    263,634.33/363,813.54 = 142,772.85/x
  3. Step 3: Cross multiply
    263,634.33x = 363,813.54 × 142,772.85
  4. Step 4: Simplify right side
    263,634.33x = 51,942,695,974.39
  5. Step 5: Solve for x
    x = 51,942,695,974.39/263,634.33
  6. Step 6: Final answer
    x = 197,025.54

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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.