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Finding the Fourth Proportional to 196,224.88, 270,786.88 and 110,184.54

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Solution

The fourth proportional to 196,224.88, 270,786.88 and 110,184.54 is: 152,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,224.88 : 270,786.88 = 110,184.54 : x
  2. Step 2: Convert to fraction form
    196,224.88/270,786.88 = 110,184.54/x
  3. Step 3: Cross multiply
    196,224.88x = 270,786.88 × 110,184.54
  4. Step 4: Simplify right side
    196,224.88x = 29,836,527,810.84
  5. Step 5: Solve for x
    x = 29,836,527,810.84/196,224.88
  6. Step 6: Final answer
    x = 152,052.73

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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.