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Finding the Fourth Proportional to 293,766.92, 405,404.34 and 159,639.56

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Solution

The fourth proportional to 293,766.92, 405,404.34 and 159,639.56 is: 220,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,766.92 : 405,404.34 = 159,639.56 : x
  2. Step 2: Convert to fraction form
    293,766.92/405,404.34 = 159,639.56/x
  3. Step 3: Cross multiply
    293,766.92x = 405,404.34 × 159,639.56
  4. Step 4: Simplify right side
    293,766.92x = 64,718,570,459.69
  5. Step 5: Solve for x
    x = 64,718,570,459.69/293,766.92
  6. Step 6: Final answer
    x = 220,305.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.