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Finding the Fourth Proportional to 229,174.80, 344,280.60 and 159,190.80

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Solution

The fourth proportional to 229,174.80, 344,280.60 and 159,190.80 is: 239,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,174.80 : 344,280.60 = 159,190.80 : x
  2. Step 2: Convert to fraction form
    229,174.80/344,280.60 = 159,190.80/x
  3. Step 3: Cross multiply
    229,174.80x = 344,280.60 × 159,190.80
  4. Step 4: Simplify right side
    229,174.80x = 54,806,304,138.48
  5. Step 5: Solve for x
    x = 54,806,304,138.48/229,174.80
  6. Step 6: Final answer
    x = 239,146.29

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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.