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Finding the Fourth Proportional to 322,163.53, 483,411.12 and 132,763.84

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Solution

The fourth proportional to 322,163.53, 483,411.12 and 132,763.84 is: 199,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,163.53 : 483,411.12 = 132,763.84 : x
  2. Step 2: Convert to fraction form
    322,163.53/483,411.12 = 132,763.84/x
  3. Step 3: Cross multiply
    322,163.53x = 483,411.12 × 132,763.84
  4. Step 4: Simplify right side
    322,163.53x = 64,179,516,589.90
  5. Step 5: Solve for x
    x = 64,179,516,589.90/322,163.53
  6. Step 6: Final answer
    x = 199,214.10

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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.