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Finding the Fourth Proportional to 222,742.31, 307,384.22 and 120,771.15

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Solution

The fourth proportional to 222,742.31, 307,384.22 and 120,771.15 is: 166,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,742.31 : 307,384.22 = 120,771.15 : x
  2. Step 2: Convert to fraction form
    222,742.31/307,384.22 = 120,771.15/x
  3. Step 3: Cross multiply
    222,742.31x = 307,384.22 × 120,771.15
  4. Step 4: Simplify right side
    222,742.31x = 37,123,145,940.19
  5. Step 5: Solve for x
    x = 37,123,145,940.19/222,742.31
  6. Step 6: Final answer
    x = 166,664.10

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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.