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Finding the Fourth Proportional to 224,180.98, 336,197.67 and 81,993.94

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Solution

The fourth proportional to 224,180.98, 336,197.67 and 81,993.94 is: 122,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,180.98 : 336,197.67 = 81,993.94 : x
  2. Step 2: Convert to fraction form
    224,180.98/336,197.67 = 81,993.94/x
  3. Step 3: Cross multiply
    224,180.98x = 336,197.67 × 81,993.94
  4. Step 4: Simplify right side
    224,180.98x = 27,566,171,582.12
  5. Step 5: Solve for x
    x = 27,566,171,582.12/224,180.98
  6. Step 6: Final answer
    x = 122,963.92

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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.