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Finding the Fourth Proportional to 217,468.33, 326,124.23 and 75,274.97

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Solution

The fourth proportional to 217,468.33, 326,124.23 and 75,274.97 is: 112,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,468.33 : 326,124.23 = 75,274.97 : x
  2. Step 2: Convert to fraction form
    217,468.33/326,124.23 = 75,274.97/x
  3. Step 3: Cross multiply
    217,468.33x = 326,124.23 × 75,274.97
  4. Step 4: Simplify right side
    217,468.33x = 24,548,991,629.52
  5. Step 5: Solve for x
    x = 24,548,991,629.52/217,468.33
  6. Step 6: Final answer
    x = 112,885.36

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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.