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Finding the Fourth Proportional to 172,942.58, 259,575.60 and 106,512.32

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Solution

The fourth proportional to 172,942.58, 259,575.60 and 106,512.32 is: 159,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,942.58 : 259,575.60 = 106,512.32 : x
  2. Step 2: Convert to fraction form
    172,942.58/259,575.60 = 106,512.32/x
  3. Step 3: Cross multiply
    172,942.58x = 259,575.60 × 106,512.32
  4. Step 4: Simplify right side
    172,942.58x = 27,647,999,371.39
  5. Step 5: Solve for x
    x = 27,647,999,371.39/172,942.58
  6. Step 6: Final answer
    x = 159,868.09

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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.