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Finding the Fourth Proportional to 222,906.34, 307,610.72 and 127,415.09

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Solution

The fourth proportional to 222,906.34, 307,610.72 and 127,415.09 is: 175,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,906.34 : 307,610.72 = 127,415.09 : x
  2. Step 2: Convert to fraction form
    222,906.34/307,610.72 = 127,415.09/x
  3. Step 3: Cross multiply
    222,906.34x = 307,610.72 × 127,415.09
  4. Step 4: Simplify right side
    222,906.34x = 39,194,245,398.64
  5. Step 5: Solve for x
    x = 39,194,245,398.64/222,906.34
  6. Step 6: Final answer
    x = 175,832.80

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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.