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Finding the Fourth Proportional to 227,218.80, 340,828.20 and 164,233.20

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Solution

The fourth proportional to 227,218.80, 340,828.20 and 164,233.20 is: 246,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,218.80 : 340,828.20 = 164,233.20 : x
  2. Step 2: Convert to fraction form
    227,218.80/340,828.20 = 164,233.20/x
  3. Step 3: Cross multiply
    227,218.80x = 340,828.20 × 164,233.20
  4. Step 4: Simplify right side
    227,218.80x = 55,975,305,936.24
  5. Step 5: Solve for x
    x = 55,975,305,936.24/227,218.80
  6. Step 6: Final answer
    x = 246,349.80

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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.