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Finding the Fourth Proportional to 120,413.42, 166,163.21 and 66,695.30

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Solution

The fourth proportional to 120,413.42, 166,163.21 and 66,695.30 is: 92,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,413.42 : 166,163.21 = 66,695.30 : x
  2. Step 2: Convert to fraction form
    120,413.42/166,163.21 = 66,695.30/x
  3. Step 3: Cross multiply
    120,413.42x = 166,163.21 × 66,695.30
  4. Step 4: Simplify right side
    120,413.42x = 11,082,305,139.91
  5. Step 5: Solve for x
    x = 11,082,305,139.91/120,413.42
  6. Step 6: Final answer
    x = 92,035.47

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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.