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Finding the Fourth Proportional to 218,823.64, 327,302.34 and 134,376.28

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Solution

The fourth proportional to 218,823.64, 327,302.34 and 134,376.28 is: 200,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,823.64 : 327,302.34 = 134,376.28 : x
  2. Step 2: Convert to fraction form
    218,823.64/327,302.34 = 134,376.28/x
  3. Step 3: Cross multiply
    218,823.64x = 327,302.34 × 134,376.28
  4. Step 4: Simplify right side
    218,823.64x = 43,981,670,884.50
  5. Step 5: Solve for x
    x = 43,981,670,884.50/218,823.64
  6. Step 6: Final answer
    x = 200,991.41

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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.