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Finding the Fourth Proportional to 133,753.97, 200,631.72 and 33,914.38

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Solution

The fourth proportional to 133,753.97, 200,631.72 and 33,914.38 is: 50,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,753.97 : 200,631.72 = 33,914.38 : x
  2. Step 2: Convert to fraction form
    133,753.97/200,631.72 = 33,914.38/x
  3. Step 3: Cross multiply
    133,753.97x = 200,631.72 × 33,914.38
  4. Step 4: Simplify right side
    133,753.97x = 6,804,300,392.13
  5. Step 5: Solve for x
    x = 6,804,300,392.13/133,753.97
  6. Step 6: Final answer
    x = 50,871.76

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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.