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Finding the Fourth Proportional to 148,906.60, 222,971.10 and 96,029.80

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Solution

The fourth proportional to 148,906.60, 222,971.10 and 96,029.80 is: 143,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,906.60 : 222,971.10 = 96,029.80 : x
  2. Step 2: Convert to fraction form
    148,906.60/222,971.10 = 96,029.80/x
  3. Step 3: Cross multiply
    148,906.60x = 222,971.10 × 96,029.80
  4. Step 4: Simplify right side
    148,906.60x = 21,411,870,138.78
  5. Step 5: Solve for x
    x = 21,411,870,138.78/148,906.60
  6. Step 6: Final answer
    x = 143,793.96

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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.