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Finding the Fourth Proportional to 193,896.57, 267,468 and 116,352.17

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Solution

The fourth proportional to 193,896.57, 267,468 and 116,352.17 is: 160,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,896.57 : 267,468 = 116,352.17 : x
  2. Step 2: Convert to fraction form
    193,896.57/267,468 = 116,352.17/x
  3. Step 3: Cross multiply
    193,896.57x = 267,468 × 116,352.17
  4. Step 4: Simplify right side
    193,896.57x = 31,120,480,868.22
  5. Step 5: Solve for x
    x = 31,120,480,868.22/193,896.57
  6. Step 6: Final answer
    x = 160,500.42

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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.