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Finding the Fourth Proportional to 293,090.13, 404,540.42 and 165,839.54

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Solution

The fourth proportional to 293,090.13, 404,540.42 and 165,839.54 is: 228,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,090.13 : 404,540.42 = 165,839.54 : x
  2. Step 2: Convert to fraction form
    293,090.13/404,540.42 = 165,839.54/x
  3. Step 3: Cross multiply
    293,090.13x = 404,540.42 × 165,839.54
  4. Step 4: Simplify right side
    293,090.13x = 67,088,794,312.31
  5. Step 5: Solve for x
    x = 67,088,794,312.31/293,090.13
  6. Step 6: Final answer
    x = 228,901.58

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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.