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Finding the Fourth Proportional to 274,525.28, 411,821.22 and 96,995.96

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Solution

The fourth proportional to 274,525.28, 411,821.22 and 96,995.96 is: 145,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,525.28 : 411,821.22 = 96,995.96 : x
  2. Step 2: Convert to fraction form
    274,525.28/411,821.22 = 96,995.96/x
  3. Step 3: Cross multiply
    274,525.28x = 411,821.22 × 96,995.96
  4. Step 4: Simplify right side
    274,525.28x = 39,944,994,582.27
  5. Step 5: Solve for x
    x = 39,944,994,582.27/274,525.28
  6. Step 6: Final answer
    x = 145,505.71

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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.