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Finding the Fourth Proportional to 133,768.80, 200,766.60 and 54,939.60

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Solution

The fourth proportional to 133,768.80, 200,766.60 and 54,939.60 is: 82,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,768.80 : 200,766.60 = 54,939.60 : x
  2. Step 2: Convert to fraction form
    133,768.80/200,766.60 = 54,939.60/x
  3. Step 3: Cross multiply
    133,768.80x = 200,766.60 × 54,939.60
  4. Step 4: Simplify right side
    133,768.80x = 11,030,036,697.36
  5. Step 5: Solve for x
    x = 11,030,036,697.36/133,768.80
  6. Step 6: Final answer
    x = 82,455.97

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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.