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Finding the Fourth Proportional to 263,919.19, 364,205.97 and 147,631.38

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Solution

The fourth proportional to 263,919.19, 364,205.97 and 147,631.38 is: 203,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,919.19 : 364,205.97 = 147,631.38 : x
  2. Step 2: Convert to fraction form
    263,919.19/364,205.97 = 147,631.38/x
  3. Step 3: Cross multiply
    263,919.19x = 364,205.97 × 147,631.38
  4. Step 4: Simplify right side
    263,919.19x = 53,768,231,662.55
  5. Step 5: Solve for x
    x = 53,768,231,662.55/263,919.19
  6. Step 6: Final answer
    x = 203,729.91

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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.