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Finding the Fourth Proportional to 182,852.58, 274,180.25 and 82,958.27

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Solution

The fourth proportional to 182,852.58, 274,180.25 and 82,958.27 is: 124,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,852.58 : 274,180.25 = 82,958.27 : x
  2. Step 2: Convert to fraction form
    182,852.58/274,180.25 = 82,958.27/x
  3. Step 3: Cross multiply
    182,852.58x = 274,180.25 × 82,958.27
  4. Step 4: Simplify right side
    182,852.58x = 22,745,517,422.47
  5. Step 5: Solve for x
    x = 22,745,517,422.47/182,852.58
  6. Step 6: Final answer
    x = 124,392.65

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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.