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Finding the Fourth Proportional to 217,682.20, 326,523.30 and 77,422.60

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Solution

The fourth proportional to 217,682.20, 326,523.30 and 77,422.60 is: 116,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,682.20 : 326,523.30 = 77,422.60 : x
  2. Step 2: Convert to fraction form
    217,682.20/326,523.30 = 77,422.60/x
  3. Step 3: Cross multiply
    217,682.20x = 326,523.30 × 77,422.60
  4. Step 4: Simplify right side
    217,682.20x = 25,280,282,846.58
  5. Step 5: Solve for x
    x = 25,280,282,846.58/217,682.20
  6. Step 6: Final answer
    x = 116,133.90

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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.