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Finding the Fourth Proportional to 223,917, 309,015.44 and 132,039.96

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Solution

The fourth proportional to 223,917, 309,015.44 and 132,039.96 is: 182,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,917 : 309,015.44 = 132,039.96 : x
  2. Step 2: Convert to fraction form
    223,917/309,015.44 = 132,039.96/x
  3. Step 3: Cross multiply
    223,917x = 309,015.44 × 132,039.96
  4. Step 4: Simplify right side
    223,917x = 40,802,386,336.98
  5. Step 5: Solve for x
    x = 40,802,386,336.98/223,917
  6. Step 6: Final answer
    x = 182,221.03

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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.