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Finding the Fourth Proportional to 101,164.20, 151,746.30 and 81,481.20

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Solution

The fourth proportional to 101,164.20, 151,746.30 and 81,481.20 is: 122,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,164.20 : 151,746.30 = 81,481.20 : x
  2. Step 2: Convert to fraction form
    101,164.20/151,746.30 = 81,481.20/x
  3. Step 3: Cross multiply
    101,164.20x = 151,746.30 × 81,481.20
  4. Step 4: Simplify right side
    101,164.20x = 12,364,470,619.56
  5. Step 5: Solve for x
    x = 12,364,470,619.56/101,164.20
  6. Step 6: Final answer
    x = 122,221.80

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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.