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Finding the Fourth Proportional to 215,940.60, 323,770.10 and 193,822.20

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Solution

The fourth proportional to 215,940.60, 323,770.10 and 193,822.20 is: 290,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,940.60 : 323,770.10 = 193,822.20 : x
  2. Step 2: Convert to fraction form
    215,940.60/323,770.10 = 193,822.20/x
  3. Step 3: Cross multiply
    215,940.60x = 323,770.10 × 193,822.20
  4. Step 4: Simplify right side
    215,940.60x = 62,753,833,076.22
  5. Step 5: Solve for x
    x = 62,753,833,076.22/215,940.60
  6. Step 6: Final answer
    x = 290,606.92

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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.