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Finding the Fourth Proportional to 133,997.56, 200,735.04 and 74,654.53

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Solution

The fourth proportional to 133,997.56, 200,735.04 and 74,654.53 is: 111,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,997.56 : 200,735.04 = 74,654.53 : x
  2. Step 2: Convert to fraction form
    133,997.56/200,735.04 = 74,654.53/x
  3. Step 3: Cross multiply
    133,997.56x = 200,735.04 × 74,654.53
  4. Step 4: Simplify right side
    133,997.56x = 14,985,780,065.73
  5. Step 5: Solve for x
    x = 14,985,780,065.73/133,997.56
  6. Step 6: Final answer
    x = 111,836.22

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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.