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Finding the Fourth Proportional to 222,440.67, 306,964.32 and 120,465.30

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Solution

The fourth proportional to 222,440.67, 306,964.32 and 120,465.30 is: 166,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,440.67 : 306,964.32 = 120,465.30 : x
  2. Step 2: Convert to fraction form
    222,440.67/306,964.32 = 120,465.30/x
  3. Step 3: Cross multiply
    222,440.67x = 306,964.32 × 120,465.30
  4. Step 4: Simplify right side
    222,440.67x = 36,978,548,898.10
  5. Step 5: Solve for x
    x = 36,978,548,898.10/222,440.67
  6. Step 6: Final answer
    x = 166,240.05

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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.