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Finding the Fourth Proportional to 200,773.23, 300,981.24 and 76,201.71

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Solution

The fourth proportional to 200,773.23, 300,981.24 and 76,201.71 is: 114,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,773.23 : 300,981.24 = 76,201.71 : x
  2. Step 2: Convert to fraction form
    200,773.23/300,981.24 = 76,201.71/x
  3. Step 3: Cross multiply
    200,773.23x = 300,981.24 × 76,201.71
  4. Step 4: Simplify right side
    200,773.23x = 22,935,285,165.92
  5. Step 5: Solve for x
    x = 22,935,285,165.92/200,773.23
  6. Step 6: Final answer
    x = 114,234.78

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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.