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Finding the Fourth Proportional to 229,982.92, 344,950.10 and 61,520.24

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Solution

The fourth proportional to 229,982.92, 344,950.10 and 61,520.24 is: 92,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,982.92 : 344,950.10 = 61,520.24 : x
  2. Step 2: Convert to fraction form
    229,982.92/344,950.10 = 61,520.24/x
  3. Step 3: Cross multiply
    229,982.92x = 344,950.10 × 61,520.24
  4. Step 4: Simplify right side
    229,982.92x = 21,221,412,940.02
  5. Step 5: Solve for x
    x = 21,221,412,940.02/229,982.92
  6. Step 6: Final answer
    x = 92,273.87

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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.