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Finding the Fourth Proportional to 230,196.21, 345,294.32 and 217,201.65

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Solution

The fourth proportional to 230,196.21, 345,294.32 and 217,201.65 is: 325,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,196.21 : 345,294.32 = 217,201.65 : x
  2. Step 2: Convert to fraction form
    230,196.21/345,294.32 = 217,201.65/x
  3. Step 3: Cross multiply
    230,196.21x = 345,294.32 × 217,201.65
  4. Step 4: Simplify right side
    230,196.21x = 74,998,494,953.62
  5. Step 5: Solve for x
    x = 74,998,494,953.62/230,196.21
  6. Step 6: Final answer
    x = 325,802.48

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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.