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Finding the Fourth Proportional to 150,540.39, 225,847.64 and 106,253.64

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Solution

The fourth proportional to 150,540.39, 225,847.64 and 106,253.64 is: 159,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540.39 : 225,847.64 = 106,253.64 : x
  2. Step 2: Convert to fraction form
    150,540.39/225,847.64 = 106,253.64/x
  3. Step 3: Cross multiply
    150,540.39x = 225,847.64 × 106,253.64
  4. Step 4: Simplify right side
    150,540.39x = 23,997,134,101.04
  5. Step 5: Solve for x
    x = 23,997,134,101.04/150,540.39
  6. Step 6: Final answer
    x = 159,406.62

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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.