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Finding the Fourth Proportional to 150,546.22, 225,747.83 and 87,385.83

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Solution

The fourth proportional to 150,546.22, 225,747.83 and 87,385.83 is: 131,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,546.22 : 225,747.83 = 87,385.83 : x
  2. Step 2: Convert to fraction form
    150,546.22/225,747.83 = 87,385.83/x
  3. Step 3: Cross multiply
    150,546.22x = 225,747.83 × 87,385.83
  4. Step 4: Simplify right side
    150,546.22x = 19,727,161,495.25
  5. Step 5: Solve for x
    x = 19,727,161,495.25/150,546.22
  6. Step 6: Final answer
    x = 131,037.24

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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.