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Finding the Fourth Proportional to 222,633.44, 307,237.87 and 120,662.17

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Solution

The fourth proportional to 222,633.44, 307,237.87 and 120,662.17 is: 166,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,633.44 : 307,237.87 = 120,662.17 : x
  2. Step 2: Convert to fraction form
    222,633.44/307,237.87 = 120,662.17/x
  3. Step 3: Cross multiply
    222,633.44x = 307,237.87 × 120,662.17
  4. Step 4: Simplify right side
    222,633.44x = 37,071,988,100.38
  5. Step 5: Solve for x
    x = 37,071,988,100.38/222,633.44
  6. Step 6: Final answer
    x = 166,515.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.