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Finding the Fourth Proportional to 263,362.41, 363,438.96 and 142,505.83

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Solution

The fourth proportional to 263,362.41, 363,438.96 and 142,505.83 is: 196,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,362.41 : 363,438.96 = 142,505.83 : x
  2. Step 2: Convert to fraction form
    263,362.41/363,438.96 = 142,505.83/x
  3. Step 3: Cross multiply
    263,362.41x = 363,438.96 × 142,505.83
  4. Step 4: Simplify right side
    263,362.41x = 51,792,171,571.03
  5. Step 5: Solve for x
    x = 51,792,171,571.03/263,362.41
  6. Step 6: Final answer
    x = 196,657.42

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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.