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Finding the Fourth Proportional to 214,636.57, 321,954.85 and 74,395.19

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Solution

The fourth proportional to 214,636.57, 321,954.85 and 74,395.19 is: 111,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,636.57 : 321,954.85 = 74,395.19 : x
  2. Step 2: Convert to fraction form
    214,636.57/321,954.85 = 74,395.19/x
  3. Step 3: Cross multiply
    214,636.57x = 321,954.85 × 74,395.19
  4. Step 4: Simplify right side
    214,636.57x = 23,951,892,237.17
  5. Step 5: Solve for x
    x = 23,951,892,237.17/214,636.57
  6. Step 6: Final answer
    x = 111,592.78

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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.