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Finding the Fourth Proportional to 218,428.14, 327,365.19 and 98,356.98

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Solution

The fourth proportional to 218,428.14, 327,365.19 and 98,356.98 is: 147,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,428.14 : 327,365.19 = 98,356.98 : x
  2. Step 2: Convert to fraction form
    218,428.14/327,365.19 = 98,356.98/x
  3. Step 3: Cross multiply
    218,428.14x = 327,365.19 × 98,356.98
  4. Step 4: Simplify right side
    218,428.14x = 32,198,651,445.53
  5. Step 5: Solve for x
    x = 32,198,651,445.53/218,428.14
  6. Step 6: Final answer
    x = 147,410.73

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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.