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Finding the Fourth Proportional to 196,180.78, 270,738.36 and 115,611.70

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Solution

The fourth proportional to 196,180.78, 270,738.36 and 115,611.70 is: 159,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,180.78 : 270,738.36 = 115,611.70 : x
  2. Step 2: Convert to fraction form
    196,180.78/270,738.36 = 115,611.70/x
  3. Step 3: Cross multiply
    196,180.78x = 270,738.36 × 115,611.70
  4. Step 4: Simplify right side
    196,180.78x = 31,300,522,054.81
  5. Step 5: Solve for x
    x = 31,300,522,054.81/196,180.78
  6. Step 6: Final answer
    x = 159,549.38

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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.