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Finding the Fourth Proportional to 117,431.72, 162,190.38 and 77,324.78

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Solution

The fourth proportional to 117,431.72, 162,190.38 and 77,324.78 is: 106,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,431.72 : 162,190.38 = 77,324.78 : x
  2. Step 2: Convert to fraction form
    117,431.72/162,190.38 = 77,324.78/x
  3. Step 3: Cross multiply
    117,431.72x = 162,190.38 × 77,324.78
  4. Step 4: Simplify right side
    117,431.72x = 12,541,335,451.62
  5. Step 5: Solve for x
    x = 12,541,335,451.62/117,431.72
  6. Step 6: Final answer
    x = 106,796.83

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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.