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Finding the Fourth Proportional to 275,225.76, 412,834.97 and 75,546.18

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Solution

The fourth proportional to 275,225.76, 412,834.97 and 75,546.18 is: 113,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,225.76 : 412,834.97 = 75,546.18 : x
  2. Step 2: Convert to fraction form
    275,225.76/412,834.97 = 75,546.18/x
  3. Step 3: Cross multiply
    275,225.76x = 412,834.97 × 75,546.18
  4. Step 4: Simplify right side
    275,225.76x = 31,188,104,576.18
  5. Step 5: Solve for x
    x = 31,188,104,576.18/275,225.76
  6. Step 6: Final answer
    x = 113,318.26

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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.