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Finding the Fourth Proportional to 293,090.38, 404,540.75 and 165,839.78

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Solution

The fourth proportional to 293,090.38, 404,540.75 and 165,839.78 is: 228,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,090.38 : 404,540.75 = 165,839.78 : x
  2. Step 2: Convert to fraction form
    293,090.38/404,540.75 = 165,839.78/x
  3. Step 3: Cross multiply
    293,090.38x = 404,540.75 × 165,839.78
  4. Step 4: Simplify right side
    293,090.38x = 67,088,948,981.04
  5. Step 5: Solve for x
    x = 67,088,948,981.04/293,090.38
  6. Step 6: Final answer
    x = 228,901.91

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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.