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Finding the Fourth Proportional to 264,198.38, 364,593.76 and 151,023.56

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Solution

The fourth proportional to 264,198.38, 364,593.76 and 151,023.56 is: 208,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,198.38 : 364,593.76 = 151,023.56 : x
  2. Step 2: Convert to fraction form
    264,198.38/364,593.76 = 151,023.56/x
  3. Step 3: Cross multiply
    264,198.38x = 364,593.76 × 151,023.56
  4. Step 4: Simplify right side
    264,198.38x = 55,062,245,388.46
  5. Step 5: Solve for x
    x = 55,062,245,388.46/264,198.38
  6. Step 6: Final answer
    x = 208,412.51

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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.