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Finding the Fourth Proportional to 263,884.50, 364,183.65 and 144,675.54

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Solution

The fourth proportional to 263,884.50, 364,183.65 and 144,675.54 is: 199,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,884.50 : 364,183.65 = 144,675.54 : x
  2. Step 2: Convert to fraction form
    263,884.50/364,183.65 = 144,675.54/x
  3. Step 3: Cross multiply
    263,884.50x = 364,183.65 × 144,675.54
  4. Step 4: Simplify right side
    263,884.50x = 52,688,466,222.92
  5. Step 5: Solve for x
    x = 52,688,466,222.92/263,884.50
  6. Step 6: Final answer
    x = 199,664.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.