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Finding the Fourth Proportional to 133,940.67, 200,906.15 and 54,013.11

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Solution

The fourth proportional to 133,940.67, 200,906.15 and 54,013.11 is: 81,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,940.67 : 200,906.15 = 54,013.11 : x
  2. Step 2: Convert to fraction form
    133,940.67/200,906.15 = 54,013.11/x
  3. Step 3: Cross multiply
    133,940.67x = 200,906.15 × 54,013.11
  4. Step 4: Simplify right side
    133,940.67x = 10,851,565,709.56
  5. Step 5: Solve for x
    x = 10,851,565,709.56/133,940.67
  6. Step 6: Final answer
    x = 81,017.71

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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.