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Finding the Fourth Proportional to 293,422.50, 404,943.30 and 166,098.60

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Solution

The fourth proportional to 293,422.50, 404,943.30 and 166,098.60 is: 229,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,422.50 : 404,943.30 = 166,098.60 : x
  2. Step 2: Convert to fraction form
    293,422.50/404,943.30 = 166,098.60/x
  3. Step 3: Cross multiply
    293,422.50x = 404,943.30 × 166,098.60
  4. Step 4: Simplify right side
    293,422.50x = 67,260,515,209.38
  5. Step 5: Solve for x
    x = 67,260,515,209.38/293,422.50
  6. Step 6: Final answer
    x = 229,227.53

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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.