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Finding the Fourth Proportional to 218,513.36, 327,811.39 and 85,385.21

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Solution

The fourth proportional to 218,513.36, 327,811.39 and 85,385.21 is: 128,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,513.36 : 327,811.39 = 85,385.21 : x
  2. Step 2: Convert to fraction form
    218,513.36/327,811.39 = 85,385.21/x
  3. Step 3: Cross multiply
    218,513.36x = 327,811.39 × 85,385.21
  4. Step 4: Simplify right side
    218,513.36x = 27,990,242,523.02
  5. Step 5: Solve for x
    x = 27,990,242,523.02/218,513.36
  6. Step 6: Final answer
    x = 128,093.96

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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.