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Finding the Fourth Proportional to 226,683.78, 339,745.40 and 114,396.12

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Solution

The fourth proportional to 226,683.78, 339,745.40 and 114,396.12 is: 171,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,683.78 : 339,745.40 = 114,396.12 : x
  2. Step 2: Convert to fraction form
    226,683.78/339,745.40 = 114,396.12/x
  3. Step 3: Cross multiply
    226,683.78x = 339,745.40 × 114,396.12
  4. Step 4: Simplify right side
    226,683.78x = 38,865,555,404.85
  5. Step 5: Solve for x
    x = 38,865,555,404.85/226,683.78
  6. Step 6: Final answer
    x = 171,452.74

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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.