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Finding the Fourth Proportional to 301,891.05, 416,609.98 and 165,924.96

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Solution

The fourth proportional to 301,891.05, 416,609.98 and 165,924.96 is: 228,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,891.05 : 416,609.98 = 165,924.96 : x
  2. Step 2: Convert to fraction form
    301,891.05/416,609.98 = 165,924.96/x
  3. Step 3: Cross multiply
    301,891.05x = 416,609.98 × 165,924.96
  4. Step 4: Simplify right side
    301,891.05x = 69,125,993,223.33
  5. Step 5: Solve for x
    x = 69,125,993,223.33/301,891.05
  6. Step 6: Final answer
    x = 228,976.62

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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.