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Finding the Fourth Proportional to 275,469.80, 413,204.70 and 97,982.60

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Solution

The fourth proportional to 275,469.80, 413,204.70 and 97,982.60 is: 146,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,469.80 : 413,204.70 = 97,982.60 : x
  2. Step 2: Convert to fraction form
    275,469.80/413,204.70 = 97,982.60/x
  3. Step 3: Cross multiply
    275,469.80x = 413,204.70 × 97,982.60
  4. Step 4: Simplify right side
    275,469.80x = 40,486,870,838.22
  5. Step 5: Solve for x
    x = 40,486,870,838.22/275,469.80
  6. Step 6: Final answer
    x = 146,973.90

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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.