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Finding the Fourth Proportional to 133,620.80, 200,544.60 and 54,791.60

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Solution

The fourth proportional to 133,620.80, 200,544.60 and 54,791.60 is: 82,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,620.80 : 200,544.60 = 54,791.60 : x
  2. Step 2: Convert to fraction form
    133,620.80/200,544.60 = 54,791.60/x
  3. Step 3: Cross multiply
    133,620.80x = 200,544.60 × 54,791.60
  4. Step 4: Simplify right side
    133,620.80x = 10,988,159,505.36
  5. Step 5: Solve for x
    x = 10,988,159,505.36/133,620.80
  6. Step 6: Final answer
    x = 82,233.90

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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.