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Finding the Fourth Proportional to 231,351.68, 347,093.94 and 96,389.48

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Solution

The fourth proportional to 231,351.68, 347,093.94 and 96,389.48 is: 144,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,351.68 : 347,093.94 = 96,389.48 : x
  2. Step 2: Convert to fraction form
    231,351.68/347,093.94 = 96,389.48/x
  3. Step 3: Cross multiply
    231,351.68x = 347,093.94 × 96,389.48
  4. Step 4: Simplify right side
    231,351.68x = 33,456,202,652.28
  5. Step 5: Solve for x
    x = 33,456,202,652.28/231,351.68
  6. Step 6: Final answer
    x = 144,611.89

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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.