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Finding the Fourth Proportional to 275,989.50, 414,114.96 and 116,100.48

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Solution

The fourth proportional to 275,989.50, 414,114.96 and 116,100.48 is: 174,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,989.50 : 414,114.96 = 116,100.48 : x
  2. Step 2: Convert to fraction form
    275,989.50/414,114.96 = 116,100.48/x
  3. Step 3: Cross multiply
    275,989.50x = 414,114.96 × 116,100.48
  4. Step 4: Simplify right side
    275,989.50x = 48,078,945,631.18
  5. Step 5: Solve for x
    x = 48,078,945,631.18/275,989.50
  6. Step 6: Final answer
    x = 174,205.71

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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.