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Finding the Fourth Proportional to 275,126.73, 412,806.74 and 150,321.93

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Solution

The fourth proportional to 275,126.73, 412,806.74 and 150,321.93 is: 225,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,126.73 : 412,806.74 = 150,321.93 : x
  2. Step 2: Convert to fraction form
    275,126.73/412,806.74 = 150,321.93/x
  3. Step 3: Cross multiply
    275,126.73x = 412,806.74 × 150,321.93
  4. Step 4: Simplify right side
    275,126.73x = 62,053,905,122.20
  5. Step 5: Solve for x
    x = 62,053,905,122.20/275,126.73
  6. Step 6: Final answer
    x = 225,546.62

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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.