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Finding the Fourth Proportional to 226,349.91, 340,878.96 and 206,172.09

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Solution

The fourth proportional to 226,349.91, 340,878.96 and 206,172.09 is: 310,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,349.91 : 340,878.96 = 206,172.09 : x
  2. Step 2: Convert to fraction form
    226,349.91/340,878.96 = 206,172.09/x
  3. Step 3: Cross multiply
    226,349.91x = 340,878.96 × 206,172.09
  4. Step 4: Simplify right side
    226,349.91x = 70,279,727,620.23
  5. Step 5: Solve for x
    x = 70,279,727,620.23/226,349.91
  6. Step 6: Final answer
    x = 310,491.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.