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Finding the Fourth Proportional to 354,098.92, 531,147.72 and 110,958.61

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Solution

The fourth proportional to 354,098.92, 531,147.72 and 110,958.61 is: 166,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,098.92 : 531,147.72 = 110,958.61 : x
  2. Step 2: Convert to fraction form
    354,098.92/531,147.72 = 110,958.61/x
  3. Step 3: Cross multiply
    354,098.92x = 531,147.72 × 110,958.61
  4. Step 4: Simplify right side
    354,098.92x = 58,935,412,715.87
  5. Step 5: Solve for x
    x = 58,935,412,715.87/354,098.92
  6. Step 6: Final answer
    x = 166,437.71

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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.