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Finding the Fourth Proportional to 275,323.52, 413,135.70 and 106,850.48

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Solution

The fourth proportional to 275,323.52, 413,135.70 and 106,850.48 is: 160,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,323.52 : 413,135.70 = 106,850.48 : x
  2. Step 2: Convert to fraction form
    275,323.52/413,135.70 = 106,850.48/x
  3. Step 3: Cross multiply
    275,323.52x = 413,135.70 × 106,850.48
  4. Step 4: Simplify right side
    275,323.52x = 44,143,747,850.14
  5. Step 5: Solve for x
    x = 44,143,747,850.14/275,323.52
  6. Step 6: Final answer
    x = 160,334.10

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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.