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Finding the Fourth Proportional to 293,188.43, 404,565.90 and 164,133.97

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Solution

The fourth proportional to 293,188.43, 404,565.90 and 164,133.97 is: 226,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,188.43 : 404,565.90 = 164,133.97 : x
  2. Step 2: Convert to fraction form
    293,188.43/404,565.90 = 164,133.97/x
  3. Step 3: Cross multiply
    293,188.43x = 404,565.90 × 164,133.97
  4. Step 4: Simplify right side
    293,188.43x = 66,403,007,293.62
  5. Step 5: Solve for x
    x = 66,403,007,293.62/293,188.43
  6. Step 6: Final answer
    x = 226,485.77

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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.