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Finding the Fourth Proportional to 223,917.50, 309,016.13 and 132,040.46

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Solution

The fourth proportional to 223,917.50, 309,016.13 and 132,040.46 is: 182,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,917.50 : 309,016.13 = 132,040.46 : x
  2. Step 2: Convert to fraction form
    223,917.50/309,016.13 = 132,040.46/x
  3. Step 3: Cross multiply
    223,917.50x = 309,016.13 × 132,040.46
  4. Step 4: Simplify right side
    223,917.50x = 40,802,631,952.62
  5. Step 5: Solve for x
    x = 40,802,631,952.62/223,917.50
  6. Step 6: Final answer
    x = 182,221.72

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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.