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Finding the Fourth Proportional to 216,072.10, 298,179.75 and 120,578.77

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Solution

The fourth proportional to 216,072.10, 298,179.75 and 120,578.77 is: 166,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,072.10 : 298,179.75 = 120,578.77 : x
  2. Step 2: Convert to fraction form
    216,072.10/298,179.75 = 120,578.77/x
  3. Step 3: Cross multiply
    216,072.10x = 298,179.75 × 120,578.77
  4. Step 4: Simplify right side
    216,072.10x = 35,954,147,493.91
  5. Step 5: Solve for x
    x = 35,954,147,493.91/216,072.10
  6. Step 6: Final answer
    x = 166,398.84

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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.