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Finding the Fourth Proportional to 216,092.24, 298,222.26 and 120,617.60

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Solution

The fourth proportional to 216,092.24, 298,222.26 and 120,617.60 is: 166,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,092.24 : 298,222.26 = 120,617.60 : x
  2. Step 2: Convert to fraction form
    216,092.24/298,222.26 = 120,617.60/x
  3. Step 3: Cross multiply
    216,092.24x = 298,222.26 × 120,617.60
  4. Step 4: Simplify right side
    216,092.24x = 35,970,853,267.78
  5. Step 5: Solve for x
    x = 35,970,853,267.78/216,092.24
  6. Step 6: Final answer
    x = 166,460.64

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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.