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Finding the Fourth Proportional to 120,542.08, 166,348.14 and 66,827.68

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Solution

The fourth proportional to 120,542.08, 166,348.14 and 66,827.68 is: 92,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,542.08 : 166,348.14 = 66,827.68 : x
  2. Step 2: Convert to fraction form
    120,542.08/166,348.14 = 66,827.68/x
  3. Step 3: Cross multiply
    120,542.08x = 166,348.14 × 66,827.68
  4. Step 4: Simplify right side
    120,542.08x = 11,116,660,268.52
  5. Step 5: Solve for x
    x = 11,116,660,268.52/120,542.08
  6. Step 6: Final answer
    x = 92,222.24

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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.