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Finding the Fourth Proportional to 150,567.66, 225,873.36 and 80,408.70

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Solution

The fourth proportional to 150,567.66, 225,873.36 and 80,408.70 is: 120,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,567.66 : 225,873.36 = 80,408.70 : x
  2. Step 2: Convert to fraction form
    150,567.66/225,873.36 = 80,408.70/x
  3. Step 3: Cross multiply
    150,567.66x = 225,873.36 × 80,408.70
  4. Step 4: Simplify right side
    150,567.66x = 18,162,183,242.23
  5. Step 5: Solve for x
    x = 18,162,183,242.23/150,567.66
  6. Step 6: Final answer
    x = 120,624.73

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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.