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Finding the Fourth Proportional to 146,883.50, 220,324.71 and 41,702.48

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Solution

The fourth proportional to 146,883.50, 220,324.71 and 41,702.48 is: 62,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,883.50 : 220,324.71 = 41,702.48 : x
  2. Step 2: Convert to fraction form
    146,883.50/220,324.71 = 41,702.48/x
  3. Step 3: Cross multiply
    146,883.50x = 220,324.71 × 41,702.48
  4. Step 4: Simplify right side
    146,883.50x = 9,188,086,812.28
  5. Step 5: Solve for x
    x = 9,188,086,812.28/146,883.50
  6. Step 6: Final answer
    x = 62,553.57

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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.