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Finding the Fourth Proportional to 120,831, 166,751.46 and 67,120.08

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Solution

The fourth proportional to 120,831, 166,751.46 and 67,120.08 is: 92,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,831 : 166,751.46 = 67,120.08 : x
  2. Step 2: Convert to fraction form
    120,831/166,751.46 = 67,120.08/x
  3. Step 3: Cross multiply
    120,831x = 166,751.46 × 67,120.08
  4. Step 4: Simplify right side
    120,831x = 11,192,371,335.32
  5. Step 5: Solve for x
    x = 11,192,371,335.32/120,831
  6. Step 6: Final answer
    x = 92,628.31

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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.