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Finding the Fourth Proportional to 214,651.60, 321,718.20 and 109,416.40

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Solution

The fourth proportional to 214,651.60, 321,718.20 and 109,416.40 is: 163,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,651.60 : 321,718.20 = 109,416.40 : x
  2. Step 2: Convert to fraction form
    214,651.60/321,718.20 = 109,416.40/x
  3. Step 3: Cross multiply
    214,651.60x = 321,718.20 × 109,416.40
  4. Step 4: Simplify right side
    214,651.60x = 35,201,247,258.48
  5. Step 5: Solve for x
    x = 35,201,247,258.48/214,651.60
  6. Step 6: Final answer
    x = 163,992.48

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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.