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Finding the Fourth Proportional to 222,287.29, 306,753.78 and 120,310.30

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Solution

The fourth proportional to 222,287.29, 306,753.78 and 120,310.30 is: 166,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,287.29 : 306,753.78 = 120,310.30 : x
  2. Step 2: Convert to fraction form
    222,287.29/306,753.78 = 120,310.30/x
  3. Step 3: Cross multiply
    222,287.29x = 306,753.78 × 120,310.30
  4. Step 4: Simplify right side
    222,287.29x = 36,905,639,297.93
  5. Step 5: Solve for x
    x = 36,905,639,297.93/222,287.29
  6. Step 6: Final answer
    x = 166,026.76

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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.