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Finding the Fourth Proportional to 230,198.21, 345,297.32 and 217,203.65

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Solution

The fourth proportional to 230,198.21, 345,297.32 and 217,203.65 is: 325,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,198.21 : 345,297.32 = 217,203.65 : x
  2. Step 2: Convert to fraction form
    230,198.21/345,297.32 = 217,203.65/x
  3. Step 3: Cross multiply
    230,198.21x = 345,297.32 × 217,203.65
  4. Step 4: Simplify right side
    230,198.21x = 74,999,838,239.22
  5. Step 5: Solve for x
    x = 74,999,838,239.22/230,198.21
  6. Step 6: Final answer
    x = 325,805.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.