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Finding the Fourth Proportional to 235,778.82, 353,679.96 and 67,324.14

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Solution

The fourth proportional to 235,778.82, 353,679.96 and 67,324.14 is: 100,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,778.82 : 353,679.96 = 67,324.14 : x
  2. Step 2: Convert to fraction form
    235,778.82/353,679.96 = 67,324.14/x
  3. Step 3: Cross multiply
    235,778.82x = 353,679.96 × 67,324.14
  4. Step 4: Simplify right side
    235,778.82x = 23,811,199,142.23
  5. Step 5: Solve for x
    x = 23,811,199,142.23/235,778.82
  6. Step 6: Final answer
    x = 100,989.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.