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Finding the Fourth Proportional to 224,578.32, 309,922.76 and 122,608.07

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Solution

The fourth proportional to 224,578.32, 309,922.76 and 122,608.07 is: 169,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,578.32 : 309,922.76 = 122,608.07 : x
  2. Step 2: Convert to fraction form
    224,578.32/309,922.76 = 122,608.07/x
  3. Step 3: Cross multiply
    224,578.32x = 309,922.76 × 122,608.07
  4. Step 4: Simplify right side
    224,578.32x = 37,999,031,452.67
  5. Step 5: Solve for x
    x = 37,999,031,452.67/224,578.32
  6. Step 6: Final answer
    x = 169,201.69

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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.