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Finding the Fourth Proportional to 218,133.60, 327,200.40 and 77,906.40

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Solution

The fourth proportional to 218,133.60, 327,200.40 and 77,906.40 is: 116,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,133.60 : 327,200.40 = 77,906.40 : x
  2. Step 2: Convert to fraction form
    218,133.60/327,200.40 = 77,906.40/x
  3. Step 3: Cross multiply
    218,133.60x = 327,200.40 × 77,906.40
  4. Step 4: Simplify right side
    218,133.60x = 25,491,005,242.56
  5. Step 5: Solve for x
    x = 25,491,005,242.56/218,133.60
  6. Step 6: Final answer
    x = 116,859.60

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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.