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Finding the Fourth Proportional to 133,195.84, 199,596 and 54,213.44

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Solution

The fourth proportional to 133,195.84, 199,596 and 54,213.44 is: 81,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,195.84 : 199,596 = 54,213.44 : x
  2. Step 2: Convert to fraction form
    133,195.84/199,596 = 54,213.44/x
  3. Step 3: Cross multiply
    133,195.84x = 199,596 × 54,213.44
  4. Step 4: Simplify right side
    133,195.84x = 10,820,785,770.24
  5. Step 5: Solve for x
    x = 10,820,785,770.24/133,195.84
  6. Step 6: Final answer
    x = 81,239.67

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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.