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Finding the Fourth Proportional to 204,523.26, 306,801.30 and 71,400.57

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Solution

The fourth proportional to 204,523.26, 306,801.30 and 71,400.57 is: 107,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,523.26 : 306,801.30 = 71,400.57 : x
  2. Step 2: Convert to fraction form
    204,523.26/306,801.30 = 71,400.57/x
  3. Step 3: Cross multiply
    204,523.26x = 306,801.30 × 71,400.57
  4. Step 4: Simplify right side
    204,523.26x = 21,905,787,696.74
  5. Step 5: Solve for x
    x = 21,905,787,696.74/204,523.26
  6. Step 6: Final answer
    x = 107,106.58

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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.