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Finding the Fourth Proportional to 293,187.98, 404,577.10 and 165,871.78

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Solution

The fourth proportional to 293,187.98, 404,577.10 and 165,871.78 is: 228,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,187.98 : 404,577.10 = 165,871.78 : x
  2. Step 2: Convert to fraction form
    293,187.98/404,577.10 = 165,871.78/x
  3. Step 3: Cross multiply
    293,187.98x = 404,577.10 × 165,871.78
  4. Step 4: Simplify right side
    293,187.98x = 67,107,923,724.24
  5. Step 5: Solve for x
    x = 67,107,923,724.24/293,187.98
  6. Step 6: Final answer
    x = 228,890.43

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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.