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Finding the Fourth Proportional to 133,211.65, 199,812.84 and 33,372.70

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Solution

The fourth proportional to 133,211.65, 199,812.84 and 33,372.70 is: 50,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,211.65 : 199,812.84 = 33,372.70 : x
  2. Step 2: Convert to fraction form
    133,211.65/199,812.84 = 33,372.70/x
  3. Step 3: Cross multiply
    133,211.65x = 199,812.84 × 33,372.70
  4. Step 4: Simplify right side
    133,211.65x = 6,668,293,965.47
  5. Step 5: Solve for x
    x = 6,668,293,965.47/133,211.65
  6. Step 6: Final answer
    x = 50,057.89

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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.