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Finding the Fourth Proportional to 273,249.84, 409,913.10 and 95,716.20

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Solution

The fourth proportional to 273,249.84, 409,913.10 and 95,716.20 is: 143,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,249.84 : 409,913.10 = 95,716.20 : x
  2. Step 2: Convert to fraction form
    273,249.84/409,913.10 = 95,716.20/x
  3. Step 3: Cross multiply
    273,249.84x = 409,913.10 × 95,716.20
  4. Step 4: Simplify right side
    273,249.84x = 39,235,324,262.22
  5. Step 5: Solve for x
    x = 39,235,324,262.22/273,249.84
  6. Step 6: Final answer
    x = 143,587.73

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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.