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Finding the Fourth Proportional to 148,633, 222,983.46 and 48,801.64

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Solution

The fourth proportional to 148,633, 222,983.46 and 48,801.64 is: 73,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,633 : 222,983.46 = 48,801.64 : x
  2. Step 2: Convert to fraction form
    148,633/222,983.46 = 48,801.64/x
  3. Step 3: Cross multiply
    148,633x = 222,983.46 × 48,801.64
  4. Step 4: Simplify right side
    148,633x = 10,881,958,540.87
  5. Step 5: Solve for x
    x = 10,881,958,540.87/148,633
  6. Step 6: Final answer
    x = 73,213.61

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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.