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Finding the Fourth Proportional to 275,119.98, 412,796.61 and 150,315.18

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Solution

The fourth proportional to 275,119.98, 412,796.61 and 150,315.18 is: 225,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,119.98 : 412,796.61 = 150,315.18 : x
  2. Step 2: Convert to fraction form
    275,119.98/412,796.61 = 150,315.18/x
  3. Step 3: Cross multiply
    275,119.98x = 412,796.61 × 150,315.18
  4. Step 4: Simplify right side
    275,119.98x = 62,049,596,735.54
  5. Step 5: Solve for x
    x = 62,049,596,735.54/275,119.98
  6. Step 6: Final answer
    x = 225,536.50

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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.