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Finding the Fourth Proportional to 106,183.68, 159,180.48 and 43,814.40

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Solution

The fourth proportional to 106,183.68, 159,180.48 and 43,814.40 is: 65,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,183.68 : 159,180.48 = 43,814.40 : x
  2. Step 2: Convert to fraction form
    106,183.68/159,180.48 = 43,814.40/x
  3. Step 3: Cross multiply
    106,183.68x = 159,180.48 × 43,814.40
  4. Step 4: Simplify right side
    106,183.68x = 6,974,397,222.91
  5. Step 5: Solve for x
    x = 6,974,397,222.91/106,183.68
  6. Step 6: Final answer
    x = 65,682.38

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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.