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Finding the Fourth Proportional to 172,942.32, 238,652.01 and 96,469.41

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Solution

The fourth proportional to 172,942.32, 238,652.01 and 96,469.41 is: 133,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,942.32 : 238,652.01 = 96,469.41 : x
  2. Step 2: Convert to fraction form
    172,942.32/238,652.01 = 96,469.41/x
  3. Step 3: Cross multiply
    172,942.32x = 238,652.01 × 96,469.41
  4. Step 4: Simplify right side
    172,942.32x = 23,022,618,600.01
  5. Step 5: Solve for x
    x = 23,022,618,600.01/172,942.32
  6. Step 6: Final answer
    x = 133,123.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.