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Finding the Fourth Proportional to 133,418.80, 200,110.92 and 50,302

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Solution

The fourth proportional to 133,418.80, 200,110.92 and 50,302 is: 75,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,418.80 : 200,110.92 = 50,302 : x
  2. Step 2: Convert to fraction form
    133,418.80/200,110.92 = 50,302/x
  3. Step 3: Cross multiply
    133,418.80x = 200,110.92 × 50,302
  4. Step 4: Simplify right side
    133,418.80x = 10,065,979,497.84
  5. Step 5: Solve for x
    x = 10,065,979,497.84/133,418.80
  6. Step 6: Final answer
    x = 75,446.49

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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.