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Finding the Fourth Proportional to 216,364.26, 324,573.74 and 74,171

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Solution

The fourth proportional to 216,364.26, 324,573.74 and 74,171 is: 111,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,364.26 : 324,573.74 = 74,171 : x
  2. Step 2: Convert to fraction form
    216,364.26/324,573.74 = 74,171/x
  3. Step 3: Cross multiply
    216,364.26x = 324,573.74 × 74,171
  4. Step 4: Simplify right side
    216,364.26x = 24,073,958,869.54
  5. Step 5: Solve for x
    x = 24,073,958,869.54/216,364.26
  6. Step 6: Final answer
    x = 111,265.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.