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Finding the Fourth Proportional to 222,732.10, 307,369.32 and 120,757.24

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Solution

The fourth proportional to 222,732.10, 307,369.32 and 120,757.24 is: 166,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,732.10 : 307,369.32 = 120,757.24 : x
  2. Step 2: Convert to fraction form
    222,732.10/307,369.32 = 120,757.24/x
  3. Step 3: Cross multiply
    222,732.10x = 307,369.32 × 120,757.24
  4. Step 4: Simplify right side
    222,732.10x = 37,117,071,354.51
  5. Step 5: Solve for x
    x = 37,117,071,354.51/222,732.10
  6. Step 6: Final answer
    x = 166,644.47

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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.