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Finding the Fourth Proportional to 101,201.76, 151,809.92 and 38,872.26

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Solution

The fourth proportional to 101,201.76, 151,809.92 and 38,872.26 is: 58,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,201.76 : 151,809.92 = 38,872.26 : x
  2. Step 2: Convert to fraction form
    101,201.76/151,809.92 = 38,872.26/x
  3. Step 3: Cross multiply
    101,201.76x = 151,809.92 × 38,872.26
  4. Step 4: Simplify right side
    101,201.76x = 5,901,194,680.82
  5. Step 5: Solve for x
    x = 5,901,194,680.82/101,201.76
  6. Step 6: Final answer
    x = 58,311.19

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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.