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Finding the Fourth Proportional to 214,605.25, 321,830.11 and 96,215.65

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Solution

The fourth proportional to 214,605.25, 321,830.11 and 96,215.65 is: 144,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,605.25 : 321,830.11 = 96,215.65 : x
  2. Step 2: Convert to fraction form
    214,605.25/321,830.11 = 96,215.65/x
  3. Step 3: Cross multiply
    214,605.25x = 321,830.11 × 96,215.65
  4. Step 4: Simplify right side
    214,605.25x = 30,965,093,223.22
  5. Step 5: Solve for x
    x = 30,965,093,223.22/214,605.25
  6. Step 6: Final answer
    x = 144,288.61

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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.