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Finding the Fourth Proportional to 224,072.67, 309,216.28 and 122,099.02

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Solution

The fourth proportional to 224,072.67, 309,216.28 and 122,099.02 is: 168,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,072.67 : 309,216.28 = 122,099.02 : x
  2. Step 2: Convert to fraction form
    224,072.67/309,216.28 = 122,099.02/x
  3. Step 3: Cross multiply
    224,072.67x = 309,216.28 × 122,099.02
  4. Step 4: Simplify right side
    224,072.67x = 37,755,004,756.05
  5. Step 5: Solve for x
    x = 37,755,004,756.05/224,072.67
  6. Step 6: Final answer
    x = 168,494.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.