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Finding the Fourth Proportional to 200,689.41, 300,823.39 and 67,523.44

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Solution

The fourth proportional to 200,689.41, 300,823.39 and 67,523.44 is: 101,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,689.41 : 300,823.39 = 67,523.44 : x
  2. Step 2: Convert to fraction form
    200,689.41/300,823.39 = 67,523.44/x
  3. Step 3: Cross multiply
    200,689.41x = 300,823.39 × 67,523.44
  4. Step 4: Simplify right side
    200,689.41x = 20,312,630,211.56
  5. Step 5: Solve for x
    x = 20,312,630,211.56/200,689.41
  6. Step 6: Final answer
    x = 101,214.26

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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.