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Finding the Fourth Proportional to 182,827.44, 274,275.50 and 82,994.65

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Solution

The fourth proportional to 182,827.44, 274,275.50 and 82,994.65 is: 124,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,827.44 : 274,275.50 = 82,994.65 : x
  2. Step 2: Convert to fraction form
    182,827.44/274,275.50 = 82,994.65/x
  3. Step 3: Cross multiply
    182,827.44x = 274,275.50 × 82,994.65
  4. Step 4: Simplify right side
    182,827.44x = 22,763,398,025.41
  5. Step 5: Solve for x
    x = 22,763,398,025.41/182,827.44
  6. Step 6: Final answer
    x = 124,507.56

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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.