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Finding the Fourth Proportional to 263,193.41, 394,825.30 and 92,374.58

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Solution

The fourth proportional to 263,193.41, 394,825.30 and 92,374.58 is: 138,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,193.41 : 394,825.30 = 92,374.58 : x
  2. Step 2: Convert to fraction form
    263,193.41/394,825.30 = 92,374.58/x
  3. Step 3: Cross multiply
    263,193.41x = 394,825.30 × 92,374.58
  4. Step 4: Simplify right side
    263,193.41x = 36,471,822,017.00
  5. Step 5: Solve for x
    x = 36,471,822,017.00/263,193.41
  6. Step 6: Final answer
    x = 138,574.22

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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.