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Finding the Fourth Proportional to 182,826.80, 274,274.51 and 82,994.03

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Solution

The fourth proportional to 182,826.80, 274,274.51 and 82,994.03 is: 124,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,826.80 : 274,274.51 = 82,994.03 : x
  2. Step 2: Convert to fraction form
    182,826.80/274,274.51 = 82,994.03/x
  3. Step 3: Cross multiply
    182,826.80x = 274,274.51 × 82,994.03
  4. Step 4: Simplify right side
    182,826.80x = 22,763,145,124.83
  5. Step 5: Solve for x
    x = 22,763,145,124.83/182,826.80
  6. Step 6: Final answer
    x = 124,506.61

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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.