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Finding the Fourth Proportional to 280,921.52, 421,257.21 and 81,194.43

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Solution

The fourth proportional to 280,921.52, 421,257.21 and 81,194.43 is: 121,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,921.52 : 421,257.21 = 81,194.43 : x
  2. Step 2: Convert to fraction form
    280,921.52/421,257.21 = 81,194.43/x
  3. Step 3: Cross multiply
    280,921.52x = 421,257.21 × 81,194.43
  4. Step 4: Simplify right side
    280,921.52x = 34,203,736,770.22
  5. Step 5: Solve for x
    x = 34,203,736,770.22/280,921.52
  6. Step 6: Final answer
    x = 121,755.49

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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.