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Finding the Fourth Proportional to 275,168.43, 412,793.64 and 97,660.58

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Solution

The fourth proportional to 275,168.43, 412,793.64 and 97,660.58 is: 146,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,168.43 : 412,793.64 = 97,660.58 : x
  2. Step 2: Convert to fraction form
    275,168.43/412,793.64 = 97,660.58/x
  3. Step 3: Cross multiply
    275,168.43x = 412,793.64 × 97,660.58
  4. Step 4: Simplify right side
    275,168.43x = 40,313,664,238.74
  5. Step 5: Solve for x
    x = 40,313,664,238.74/275,168.43
  6. Step 6: Final answer
    x = 146,505.41

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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.