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Finding the Fourth Proportional to 148,427.68, 222,664.56 and 49,924

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Solution

The fourth proportional to 148,427.68, 222,664.56 and 49,924 is: 74,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,427.68 : 222,664.56 = 49,924 : x
  2. Step 2: Convert to fraction form
    148,427.68/222,664.56 = 49,924/x
  3. Step 3: Cross multiply
    148,427.68x = 222,664.56 × 49,924
  4. Step 4: Simplify right side
    148,427.68x = 11,116,305,493.44
  5. Step 5: Solve for x
    x = 11,116,305,493.44/148,427.68
  6. Step 6: Final answer
    x = 74,893.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.