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Finding the Fourth Proportional to 222,431.68, 306,957.21 and 120,457.23

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Solution

The fourth proportional to 222,431.68, 306,957.21 and 120,457.23 is: 166,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,431.68 : 306,957.21 = 120,457.23 : x
  2. Step 2: Convert to fraction form
    222,431.68/306,957.21 = 120,457.23/x
  3. Step 3: Cross multiply
    222,431.68x = 306,957.21 × 120,457.23
  4. Step 4: Simplify right side
    222,431.68x = 36,975,215,245.13
  5. Step 5: Solve for x
    x = 36,975,215,245.13/222,431.68
  6. Step 6: Final answer
    x = 166,231.79

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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.