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Finding the Fourth Proportional to 218,172.40, 327,177.54 and 75,981.16

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Solution

The fourth proportional to 218,172.40, 327,177.54 and 75,981.16 is: 113,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,172.40 : 327,177.54 = 75,981.16 : x
  2. Step 2: Convert to fraction form
    218,172.40/327,177.54 = 75,981.16/x
  3. Step 3: Cross multiply
    218,172.40x = 327,177.54 × 75,981.16
  4. Step 4: Simplify right side
    218,172.40x = 24,859,329,015.15
  5. Step 5: Solve for x
    x = 24,859,329,015.15/218,172.40
  6. Step 6: Final answer
    x = 113,943.51

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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.