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Finding the Fourth Proportional to 193,843.20, 290,803.20 and 162,892.80

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Solution

The fourth proportional to 193,843.20, 290,803.20 and 162,892.80 is: 244,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,843.20 : 290,803.20 = 162,892.80 : x
  2. Step 2: Convert to fraction form
    193,843.20/290,803.20 = 162,892.80/x
  3. Step 3: Cross multiply
    193,843.20x = 290,803.20 × 162,892.80
  4. Step 4: Simplify right side
    193,843.20x = 47,369,747,496.96
  5. Step 5: Solve for x
    x = 47,369,747,496.96/193,843.20
  6. Step 6: Final answer
    x = 244,371.47

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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.