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Finding the Fourth Proportional to 214,596.20, 321,951.69 and 74,354.82

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Solution

The fourth proportional to 214,596.20, 321,951.69 and 74,354.82 is: 111,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,596.20 : 321,951.69 = 74,354.82 : x
  2. Step 2: Convert to fraction form
    214,596.20/321,951.69 = 74,354.82/x
  3. Step 3: Cross multiply
    214,596.20x = 321,951.69 × 74,354.82
  4. Step 4: Simplify right side
    214,596.20x = 23,938,659,958.65
  5. Step 5: Solve for x
    x = 23,938,659,958.65/214,596.20
  6. Step 6: Final answer
    x = 111,552.12

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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.