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Finding the Fourth Proportional to 253,951.36, 350,381.97 and 200,069.15

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Solution

The fourth proportional to 253,951.36, 350,381.97 and 200,069.15 is: 276,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,951.36 : 350,381.97 = 200,069.15 : x
  2. Step 2: Convert to fraction form
    253,951.36/350,381.97 = 200,069.15/x
  3. Step 3: Cross multiply
    253,951.36x = 350,381.97 × 200,069.15
  4. Step 4: Simplify right side
    253,951.36x = 70,100,621,161.32
  5. Step 5: Solve for x
    x = 70,100,621,161.32/253,951.36
  6. Step 6: Final answer
    x = 276,039.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.