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Finding the Fourth Proportional to 150,633.76, 225,952.38 and 45,453.64

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Solution

The fourth proportional to 150,633.76, 225,952.38 and 45,453.64 is: 68,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,633.76 : 225,952.38 = 45,453.64 : x
  2. Step 2: Convert to fraction form
    150,633.76/225,952.38 = 45,453.64/x
  3. Step 3: Cross multiply
    150,633.76x = 225,952.38 × 45,453.64
  4. Step 4: Simplify right side
    150,633.76x = 10,270,358,137.66
  5. Step 5: Solve for x
    x = 10,270,358,137.66/150,633.76
  6. Step 6: Final answer
    x = 68,180.99

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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.