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Finding the Fourth Proportional to 148,364, 222,633.48 and 54,935.36

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Solution

The fourth proportional to 148,364, 222,633.48 and 54,935.36 is: 82,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,364 : 222,633.48 = 54,935.36 : x
  2. Step 2: Convert to fraction form
    148,364/222,633.48 = 54,935.36/x
  3. Step 3: Cross multiply
    148,364x = 222,633.48 × 54,935.36
  4. Step 4: Simplify right side
    148,364x = 12,230,450,371.85
  5. Step 5: Solve for x
    x = 12,230,450,371.85/148,364
  6. Step 6: Final answer
    x = 82,435.43

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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.