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Finding the Fourth Proportional to 120,416.42, 166,167.34 and 66,698.30

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Solution

The fourth proportional to 120,416.42, 166,167.34 and 66,698.30 is: 92,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,416.42 : 166,167.34 = 66,698.30 : x
  2. Step 2: Convert to fraction form
    120,416.42/166,167.34 = 66,698.30/x
  3. Step 3: Cross multiply
    120,416.42x = 166,167.34 × 66,698.30
  4. Step 4: Simplify right side
    120,416.42x = 11,083,079,093.52
  5. Step 5: Solve for x
    x = 11,083,079,093.52/120,416.42
  6. Step 6: Final answer
    x = 92,039.60

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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.