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Finding the Fourth Proportional to 146,357.87, 219,735.97 and 82,361.22

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Solution

The fourth proportional to 146,357.87, 219,735.97 and 82,361.22 is: 123,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,357.87 : 219,735.97 = 82,361.22 : x
  2. Step 2: Convert to fraction form
    146,357.87/219,735.97 = 82,361.22/x
  3. Step 3: Cross multiply
    146,357.87x = 219,735.97 × 82,361.22
  4. Step 4: Simplify right side
    146,357.87x = 18,097,723,461.09
  5. Step 5: Solve for x
    x = 18,097,723,461.09/146,357.87
  6. Step 6: Final answer
    x = 123,653.91

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Why These Related Problems?

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