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Finding the Fourth Proportional to 150,546.31, 225,857.41 and 106,259.56

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Solution

The fourth proportional to 150,546.31, 225,857.41 and 106,259.56 is: 159,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,546.31 : 225,857.41 = 106,259.56 : x
  2. Step 2: Convert to fraction form
    150,546.31/225,857.41 = 106,259.56/x
  3. Step 3: Cross multiply
    150,546.31x = 225,857.41 × 106,259.56
  4. Step 4: Simplify right side
    150,546.31x = 23,999,508,179.05
  5. Step 5: Solve for x
    x = 23,999,508,179.05/150,546.31
  6. Step 6: Final answer
    x = 159,416.12

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1.5x scale

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.