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Finding the Fourth Proportional to 133,211.14, 199,812.09 and 33,372.19

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Solution

The fourth proportional to 133,211.14, 199,812.09 and 33,372.19 is: 50,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,211.14 : 199,812.09 = 33,372.19 : x
  2. Step 2: Convert to fraction form
    133,211.14/199,812.09 = 33,372.19/x
  3. Step 3: Cross multiply
    133,211.14x = 199,812.09 × 33,372.19
  4. Step 4: Simplify right side
    133,211.14x = 6,668,167,031.78
  5. Step 5: Solve for x
    x = 6,668,167,031.78/133,211.14
  6. Step 6: Final answer
    x = 50,057.13

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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.