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Finding the Fourth Proportional to 215,846.80, 323,770.20 and 68,102.80

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Solution

The fourth proportional to 215,846.80, 323,770.20 and 68,102.80 is: 102,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,846.80 : 323,770.20 = 68,102.80 : x
  2. Step 2: Convert to fraction form
    215,846.80/323,770.20 = 68,102.80/x
  3. Step 3: Cross multiply
    215,846.80x = 323,770.20 × 68,102.80
  4. Step 4: Simplify right side
    215,846.80x = 22,049,657,176.56
  5. Step 5: Solve for x
    x = 22,049,657,176.56/215,846.80
  6. Step 6: Final answer
    x = 102,154.20

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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.