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Finding the Fourth Proportional to 365,408.62, 548,091.06 and 99,163.24

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Solution

The fourth proportional to 365,408.62, 548,091.06 and 99,163.24 is: 148,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,408.62 : 548,091.06 = 99,163.24 : x
  2. Step 2: Convert to fraction form
    365,408.62/548,091.06 = 99,163.24/x
  3. Step 3: Cross multiply
    365,408.62x = 548,091.06 × 99,163.24
  4. Step 4: Simplify right side
    365,408.62x = 54,350,483,582.54
  5. Step 5: Solve for x
    x = 54,350,483,582.54/365,408.62
  6. Step 6: Final answer
    x = 148,738.92

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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.