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Finding the Fourth Proportional to 120,497.35, 166,286.36 and 66,785.83

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Solution

The fourth proportional to 120,497.35, 166,286.36 and 66,785.83 is: 92,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,497.35 : 166,286.36 = 66,785.83 : x
  2. Step 2: Convert to fraction form
    120,497.35/166,286.36 = 66,785.83/x
  3. Step 3: Cross multiply
    120,497.35x = 166,286.36 × 66,785.83
  4. Step 4: Simplify right side
    120,497.35x = 11,105,572,236.35
  5. Step 5: Solve for x
    x = 11,105,572,236.35/120,497.35
  6. Step 6: Final answer
    x = 92,164.45

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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.