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Finding the Fourth Proportional to 118,942.14, 164,140.38 and 65,227.53

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Solution

The fourth proportional to 118,942.14, 164,140.38 and 65,227.53 is: 90,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,942.14 : 164,140.38 = 65,227.53 : x
  2. Step 2: Convert to fraction form
    118,942.14/164,140.38 = 65,227.53/x
  3. Step 3: Cross multiply
    118,942.14x = 164,140.38 × 65,227.53
  4. Step 4: Simplify right side
    118,942.14x = 10,706,471,560.66
  5. Step 5: Solve for x
    x = 10,706,471,560.66/118,942.14
  6. Step 6: Final answer
    x = 90,014.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.