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Finding the Fourth Proportional to 133,571.89, 200,357.97 and 33,733.18

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Solution

The fourth proportional to 133,571.89, 200,357.97 and 33,733.18 is: 50,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,571.89 : 200,357.97 = 33,733.18 : x
  2. Step 2: Convert to fraction form
    133,571.89/200,357.97 = 33,733.18/x
  3. Step 3: Cross multiply
    133,571.89x = 200,357.97 × 33,733.18
  4. Step 4: Simplify right side
    133,571.89x = 6,758,711,466.44
  5. Step 5: Solve for x
    x = 6,758,711,466.44/133,571.89
  6. Step 6: Final answer
    x = 50,599.80

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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.