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Finding the Fourth Proportional to 217,400.40, 326,122.94 and 75,245.44

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Solution

The fourth proportional to 217,400.40, 326,122.94 and 75,245.44 is: 112,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,400.40 : 326,122.94 = 75,245.44 : x
  2. Step 2: Convert to fraction form
    217,400.40/326,122.94 = 75,245.44/x
  3. Step 3: Cross multiply
    217,400.40x = 326,122.94 × 75,245.44
  4. Step 4: Simplify right side
    217,400.40x = 24,539,265,258.90
  5. Step 5: Solve for x
    x = 24,539,265,258.90/217,400.40
  6. Step 6: Final answer
    x = 112,875.90

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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.