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Finding the Fourth Proportional to 215,954.30, 298,016.73 and 120,460.94

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Solution

The fourth proportional to 215,954.30, 298,016.73 and 120,460.94 is: 166,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,954.30 : 298,016.73 = 120,460.94 : x
  2. Step 2: Convert to fraction form
    215,954.30/298,016.73 = 120,460.94/x
  3. Step 3: Cross multiply
    215,954.30x = 298,016.73 × 120,460.94
  4. Step 4: Simplify right side
    215,954.30x = 35,899,375,431.53
  5. Step 5: Solve for x
    x = 35,899,375,431.53/215,954.30
  6. Step 6: Final answer
    x = 166,235.98

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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.