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Finding the Fourth Proportional to 120,832, 166,761.18 and 73,111.64

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Solution

The fourth proportional to 120,832, 166,761.18 and 73,111.64 is: 100,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,832 : 166,761.18 = 73,111.64 : x
  2. Step 2: Convert to fraction form
    120,832/166,761.18 = 73,111.64/x
  3. Step 3: Cross multiply
    120,832x = 166,761.18 × 73,111.64
  4. Step 4: Simplify right side
    120,832x = 12,192,183,358.14
  5. Step 5: Solve for x
    x = 12,192,183,358.14/120,832
  6. Step 6: Final answer
    x = 100,901.94

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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.