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Finding the Fourth Proportional to 185,976.80, 256,644.96 and 101,096

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Solution

The fourth proportional to 185,976.80, 256,644.96 and 101,096 is: 139,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,976.80 : 256,644.96 = 101,096 : x
  2. Step 2: Convert to fraction form
    185,976.80/256,644.96 = 101,096/x
  3. Step 3: Cross multiply
    185,976.80x = 256,644.96 × 101,096
  4. Step 4: Simplify right side
    185,976.80x = 25,945,778,876.16
  5. Step 5: Solve for x
    x = 25,945,778,876.16/185,976.80
  6. Step 6: Final answer
    x = 139,510.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.