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Finding the Fourth Proportional to 224,370.78, 309,632.67 and 122,398.56

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Solution

The fourth proportional to 224,370.78, 309,632.67 and 122,398.56 is: 168,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,370.78 : 309,632.67 = 122,398.56 : x
  2. Step 2: Convert to fraction form
    224,370.78/309,632.67 = 122,398.56/x
  3. Step 3: Cross multiply
    224,370.78x = 309,632.67 × 122,398.56
  4. Step 4: Simplify right side
    224,370.78x = 37,898,592,936.96
  5. Step 5: Solve for x
    x = 37,898,592,936.96/224,370.78
  6. Step 6: Final answer
    x = 168,910.55

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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.