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Finding the Fourth Proportional to 275,144.48, 412,833.48 and 150,339.68

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Solution

The fourth proportional to 275,144.48, 412,833.48 and 150,339.68 is: 225,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,144.48 : 412,833.48 = 150,339.68 : x
  2. Step 2: Convert to fraction form
    275,144.48/412,833.48 = 150,339.68/x
  3. Step 3: Cross multiply
    275,144.48x = 412,833.48 × 150,339.68
  4. Step 4: Simplify right side
    275,144.48x = 62,065,253,276.49
  5. Step 5: Solve for x
    x = 62,065,253,276.49/275,144.48
  6. Step 6: Final answer
    x = 225,573.32

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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.