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Finding the Fourth Proportional to 263,647.68, 363,840.45 and 161,729.34

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Solution

The fourth proportional to 263,647.68, 363,840.45 and 161,729.34 is: 223,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,647.68 : 363,840.45 = 161,729.34 : x
  2. Step 2: Convert to fraction form
    263,647.68/363,840.45 = 161,729.34/x
  3. Step 3: Cross multiply
    263,647.68x = 363,840.45 × 161,729.34
  4. Step 4: Simplify right side
    263,647.68x = 58,843,675,843.80
  5. Step 5: Solve for x
    x = 58,843,675,843.80/263,647.68
  6. Step 6: Final answer
    x = 223,190.57

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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.