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Finding the Fourth Proportional to 120,838.32, 166,753.44 and 67,122

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Solution

The fourth proportional to 120,838.32, 166,753.44 and 67,122 is: 92,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,838.32 : 166,753.44 = 67,122 : x
  2. Step 2: Convert to fraction form
    120,838.32/166,753.44 = 67,122/x
  3. Step 3: Cross multiply
    120,838.32x = 166,753.44 × 67,122
  4. Step 4: Simplify right side
    120,838.32x = 11,192,824,399.68
  5. Step 5: Solve for x
    x = 11,192,824,399.68/120,838.32
  6. Step 6: Final answer
    x = 92,626.45

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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.