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Finding the Fourth Proportional to 120,412.94, 166,162.52 and 66,694.82

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Solution

The fourth proportional to 120,412.94, 166,162.52 and 66,694.82 is: 92,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412.94 : 166,162.52 = 66,694.82 : x
  2. Step 2: Convert to fraction form
    120,412.94/166,162.52 = 66,694.82/x
  3. Step 3: Cross multiply
    120,412.94x = 166,162.52 × 66,694.82
  4. Step 4: Simplify right side
    120,412.94x = 11,082,179,362.15
  5. Step 5: Solve for x
    x = 11,082,179,362.15/120,412.94
  6. Step 6: Final answer
    x = 92,034.79

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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.