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Finding the Fourth Proportional to 262,642.12, 394,086.24 and 129,449.74

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Solution

The fourth proportional to 262,642.12, 394,086.24 and 129,449.74 is: 194,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,642.12 : 394,086.24 = 129,449.74 : x
  2. Step 2: Convert to fraction form
    262,642.12/394,086.24 = 129,449.74/x
  3. Step 3: Cross multiply
    262,642.12x = 394,086.24 × 129,449.74
  4. Step 4: Simplify right side
    262,642.12x = 51,014,361,305.58
  5. Step 5: Solve for x
    x = 51,014,361,305.58/262,642.12
  6. Step 6: Final answer
    x = 194,235.26

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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.