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Finding the Fourth Proportional to 229,952.82, 344,930.94 and 80,192.82

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Solution

The fourth proportional to 229,952.82, 344,930.94 and 80,192.82 is: 120,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,952.82 : 344,930.94 = 80,192.82 : x
  2. Step 2: Convert to fraction form
    229,952.82/344,930.94 = 80,192.82/x
  3. Step 3: Cross multiply
    229,952.82x = 344,930.94 × 80,192.82
  4. Step 4: Simplify right side
    229,952.82x = 27,660,984,783.85
  5. Step 5: Solve for x
    x = 27,660,984,783.85/229,952.82
  6. Step 6: Final answer
    x = 120,289.83

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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.