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Finding the Fourth Proportional to 303,823.91, 455,791.22 and 104,164.49

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Solution

The fourth proportional to 303,823.91, 455,791.22 and 104,164.49 is: 156,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,823.91 : 455,791.22 = 104,164.49 : x
  2. Step 2: Convert to fraction form
    303,823.91/455,791.22 = 104,164.49/x
  3. Step 3: Cross multiply
    303,823.91x = 455,791.22 × 104,164.49
  4. Step 4: Simplify right side
    303,823.91x = 47,477,259,977.78
  5. Step 5: Solve for x
    x = 47,477,259,977.78/303,823.91
  6. Step 6: Final answer
    x = 156,265.71

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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.