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Finding the Fourth Proportional to 293,503.11, 405,043.92 and 166,175.97

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Solution

The fourth proportional to 293,503.11, 405,043.92 and 166,175.97 is: 229,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,503.11 : 405,043.92 = 166,175.97 : x
  2. Step 2: Convert to fraction form
    293,503.11/405,043.92 = 166,175.97/x
  3. Step 3: Cross multiply
    293,503.11x = 405,043.92 × 166,175.97
  4. Step 4: Simplify right side
    293,503.11x = 67,308,566,298.60
  5. Step 5: Solve for x
    x = 67,308,566,298.60/293,503.11
  6. Step 6: Final answer
    x = 229,328.29

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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.