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Finding the Fourth Proportional to 263,064.69, 394,655.49 and 122,746.77

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Solution

The fourth proportional to 263,064.69, 394,655.49 and 122,746.77 is: 184,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,064.69 : 394,655.49 = 122,746.77 : x
  2. Step 2: Convert to fraction form
    263,064.69/394,655.49 = 122,746.77/x
  3. Step 3: Cross multiply
    263,064.69x = 394,655.49 × 122,746.77
  4. Step 4: Simplify right side
    263,064.69x = 48,442,686,660.27
  5. Step 5: Solve for x
    x = 48,442,686,660.27/263,064.69
  6. Step 6: Final answer
    x = 184,147.43

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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.