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Finding the Fourth Proportional to 226,935.30, 340,512.30 and 160,231.80

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Solution

The fourth proportional to 226,935.30, 340,512.30 and 160,231.80 is: 240,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,935.30 : 340,512.30 = 160,231.80 : x
  2. Step 2: Convert to fraction form
    226,935.30/340,512.30 = 160,231.80/x
  3. Step 3: Cross multiply
    226,935.30x = 340,512.30 × 160,231.80
  4. Step 4: Simplify right side
    226,935.30x = 54,560,898,751.14
  5. Step 5: Solve for x
    x = 54,560,898,751.14/226,935.30
  6. Step 6: Final answer
    x = 240,424.91

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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.