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Finding the Fourth Proportional to 293,097.25, 404,474.25 and 165,770.11

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Solution

The fourth proportional to 293,097.25, 404,474.25 and 165,770.11 is: 228,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,097.25 : 404,474.25 = 165,770.11 : x
  2. Step 2: Convert to fraction form
    293,097.25/404,474.25 = 165,770.11/x
  3. Step 3: Cross multiply
    293,097.25x = 404,474.25 × 165,770.11
  4. Step 4: Simplify right side
    293,097.25x = 67,049,740,914.67
  5. Step 5: Solve for x
    x = 67,049,740,914.67/293,097.25
  6. Step 6: Final answer
    x = 228,762.78

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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.