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Finding the Fourth Proportional to 120,497.10, 166,286.01 and 66,785.58

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Solution

The fourth proportional to 120,497.10, 166,286.01 and 66,785.58 is: 92,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,497.10 : 166,286.01 = 66,785.58 : x
  2. Step 2: Convert to fraction form
    120,497.10/166,286.01 = 66,785.58/x
  3. Step 3: Cross multiply
    120,497.10x = 166,286.01 × 66,785.58
  4. Step 4: Simplify right side
    120,497.10x = 11,105,507,623.74
  5. Step 5: Solve for x
    x = 11,105,507,623.74/120,497.10
  6. Step 6: Final answer
    x = 92,164.11

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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.