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Finding the Fourth Proportional to 224,456.49, 336,738.20 and 84,216.33

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Solution

The fourth proportional to 224,456.49, 336,738.20 and 84,216.33 is: 126,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,456.49 : 336,738.20 = 84,216.33 : x
  2. Step 2: Convert to fraction form
    224,456.49/336,738.20 = 84,216.33/x
  3. Step 3: Cross multiply
    224,456.49x = 336,738.20 × 84,216.33
  4. Step 4: Simplify right side
    224,456.49x = 28,358,854,953.72
  5. Step 5: Solve for x
    x = 28,358,854,953.72/224,456.49
  6. Step 6: Final answer
    x = 126,344.55

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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.