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Finding the Fourth Proportional to 133,099.44, 199,593.72 and 54,160.08

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Solution

The fourth proportional to 133,099.44, 199,593.72 and 54,160.08 is: 81,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,099.44 : 199,593.72 = 54,160.08 : x
  2. Step 2: Convert to fraction form
    133,099.44/199,593.72 = 54,160.08/x
  3. Step 3: Cross multiply
    133,099.44x = 199,593.72 × 54,160.08
  4. Step 4: Simplify right side
    133,099.44x = 10,810,011,842.70
  5. Step 5: Solve for x
    x = 10,810,011,842.70/133,099.44
  6. Step 6: Final answer
    x = 81,217.56

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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.