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Finding the Fourth Proportional to 293,896.13, 405,581.11 and 164,863.21

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Solution

The fourth proportional to 293,896.13, 405,581.11 and 164,863.21 is: 227,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,896.13 : 405,581.11 = 164,863.21 : x
  2. Step 2: Convert to fraction form
    293,896.13/405,581.11 = 164,863.21/x
  3. Step 3: Cross multiply
    293,896.13x = 405,581.11 × 164,863.21
  4. Step 4: Simplify right side
    293,896.13x = 66,865,403,709.96
  5. Step 5: Solve for x
    x = 66,865,403,709.96/293,896.13
  6. Step 6: Final answer
    x = 227,513.73

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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.