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Finding the Fourth Proportional to 226,853.20, 340,231.20 and 100,493.20

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Solution

The fourth proportional to 226,853.20, 340,231.20 and 100,493.20 is: 150,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,853.20 : 340,231.20 = 100,493.20 : x
  2. Step 2: Convert to fraction form
    226,853.20/340,231.20 = 100,493.20/x
  3. Step 3: Cross multiply
    226,853.20x = 340,231.20 × 100,493.20
  4. Step 4: Simplify right side
    226,853.20x = 34,190,922,027.84
  5. Step 5: Solve for x
    x = 34,190,922,027.84/226,853.20
  6. Step 6: Final answer
    x = 150,718.27

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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.