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Finding the Fourth Proportional to 120,412.83, 166,171.04 and 66,698.67

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Solution

The fourth proportional to 120,412.83, 166,171.04 and 66,698.67 is: 92,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412.83 : 166,171.04 = 66,698.67 : x
  2. Step 2: Convert to fraction form
    120,412.83/166,171.04 = 66,698.67/x
  3. Step 3: Cross multiply
    120,412.83x = 166,171.04 × 66,698.67
  4. Step 4: Simplify right side
    120,412.83x = 11,083,387,027.02
  5. Step 5: Solve for x
    x = 11,083,387,027.02/120,412.83
  6. Step 6: Final answer
    x = 92,044.90

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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.