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Finding the Fourth Proportional to 275,224.16, 412,761.48 and 75,497.30

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Solution

The fourth proportional to 275,224.16, 412,761.48 and 75,497.30 is: 113,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,224.16 : 412,761.48 = 75,497.30 : x
  2. Step 2: Convert to fraction form
    275,224.16/412,761.48 = 75,497.30/x
  3. Step 3: Cross multiply
    275,224.16x = 412,761.48 × 75,497.30
  4. Step 4: Simplify right side
    275,224.16x = 31,162,377,284.00
  5. Step 5: Solve for x
    x = 31,162,377,284.00/275,224.16
  6. Step 6: Final answer
    x = 113,225.44

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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.