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Finding the Fourth Proportional to 275,172.92, 412,759.92 and 75,496.04

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Solution

The fourth proportional to 275,172.92, 412,759.92 and 75,496.04 is: 113,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,172.92 : 412,759.92 = 75,496.04 : x
  2. Step 2: Convert to fraction form
    275,172.92/412,759.92 = 75,496.04/x
  3. Step 3: Cross multiply
    275,172.92x = 412,759.92 × 75,496.04
  4. Step 4: Simplify right side
    275,172.92x = 31,161,739,430.72
  5. Step 5: Solve for x
    x = 31,161,739,430.72/275,172.92
  6. Step 6: Final answer
    x = 113,244.21

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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.