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Finding the Fourth Proportional to 214,428.85, 321,520.21 and 81,224.15

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Solution

The fourth proportional to 214,428.85, 321,520.21 and 81,224.15 is: 121,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,428.85 : 321,520.21 = 81,224.15 : x
  2. Step 2: Convert to fraction form
    214,428.85/321,520.21 = 81,224.15/x
  3. Step 3: Cross multiply
    214,428.85x = 321,520.21 × 81,224.15
  4. Step 4: Simplify right side
    214,428.85x = 26,115,203,954.41
  5. Step 5: Solve for x
    x = 26,115,203,954.41/214,428.85
  6. Step 6: Final answer
    x = 121,789.60

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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.