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Finding the Fourth Proportional to 133,754.49, 200,632.50 and 33,914.88

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Solution

The fourth proportional to 133,754.49, 200,632.50 and 33,914.88 is: 50,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,754.49 : 200,632.50 = 33,914.88 : x
  2. Step 2: Convert to fraction form
    133,754.49/200,632.50 = 33,914.88/x
  3. Step 3: Cross multiply
    133,754.49x = 200,632.50 × 33,914.88
  4. Step 4: Simplify right side
    133,754.49x = 6,804,427,161.60
  5. Step 5: Solve for x
    x = 6,804,427,161.60/133,754.49
  6. Step 6: Final answer
    x = 50,872.51

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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.