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Finding the Fourth Proportional to 143,716.38, 198,169.11 and 117,796.38

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Solution

The fourth proportional to 143,716.38, 198,169.11 and 117,796.38 is: 162,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,716.38 : 198,169.11 = 117,796.38 : x
  2. Step 2: Convert to fraction form
    143,716.38/198,169.11 = 117,796.38/x
  3. Step 3: Cross multiply
    143,716.38x = 198,169.11 × 117,796.38
  4. Step 4: Simplify right side
    143,716.38x = 23,343,603,785.82
  5. Step 5: Solve for x
    x = 23,343,603,785.82/143,716.38
  6. Step 6: Final answer
    x = 162,428.28

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Why These Related Problems?

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