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Finding the Fourth Proportional to 133,691.87, 200,563.09 and 53,736.06

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Solution

The fourth proportional to 133,691.87, 200,563.09 and 53,736.06 is: 80,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.87 : 200,563.09 = 53,736.06 : x
  2. Step 2: Convert to fraction form
    133,691.87/200,563.09 = 53,736.06/x
  3. Step 3: Cross multiply
    133,691.87x = 200,563.09 × 53,736.06
  4. Step 4: Simplify right side
    133,691.87x = 10,777,470,305.20
  5. Step 5: Solve for x
    x = 10,777,470,305.20/133,691.87
  6. Step 6: Final answer
    x = 80,614.25

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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.