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Finding the Fourth Proportional to 180,418.49, 270,628.86 and 47,297.55

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Solution

The fourth proportional to 180,418.49, 270,628.86 and 47,297.55 is: 70,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,418.49 : 270,628.86 = 47,297.55 : x
  2. Step 2: Convert to fraction form
    180,418.49/270,628.86 = 47,297.55/x
  3. Step 3: Cross multiply
    180,418.49x = 270,628.86 × 47,297.55
  4. Step 4: Simplify right side
    180,418.49x = 12,800,083,229.52
  5. Step 5: Solve for x
    x = 12,800,083,229.52/180,418.49
  6. Step 6: Final answer
    x = 70,946.63

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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.