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Finding the Fourth Proportional to 224,149.86, 309,324.84 and 122,175.32

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Solution

The fourth proportional to 224,149.86, 309,324.84 and 122,175.32 is: 168,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,149.86 : 309,324.84 = 122,175.32 : x
  2. Step 2: Convert to fraction form
    224,149.86/309,324.84 = 122,175.32/x
  3. Step 3: Cross multiply
    224,149.86x = 309,324.84 × 122,175.32
  4. Step 4: Simplify right side
    224,149.86x = 37,791,859,764.32
  5. Step 5: Solve for x
    x = 37,791,859,764.32/224,149.86
  6. Step 6: Final answer
    x = 168,600.86

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