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Finding the Fourth Proportional to 116,229.36, 174,410.46 and 96,744

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Solution

The fourth proportional to 116,229.36, 174,410.46 and 96,744 is: 145,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,229.36 : 174,410.46 = 96,744 : x
  2. Step 2: Convert to fraction form
    116,229.36/174,410.46 = 96,744/x
  3. Step 3: Cross multiply
    116,229.36x = 174,410.46 × 96,744
  4. Step 4: Simplify right side
    116,229.36x = 16,873,165,542.24
  5. Step 5: Solve for x
    x = 16,873,165,542.24/116,229.36
  6. Step 6: Final answer
    x = 145,171.28

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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.