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Finding the Fourth Proportional to 196,201.71, 270,750.20 and 111,323.43

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Solution

The fourth proportional to 196,201.71, 270,750.20 and 111,323.43 is: 153,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,201.71 : 270,750.20 = 111,323.43 : x
  2. Step 2: Convert to fraction form
    196,201.71/270,750.20 = 111,323.43/x
  3. Step 3: Cross multiply
    196,201.71x = 270,750.20 × 111,323.43
  4. Step 4: Simplify right side
    196,201.71x = 30,140,840,380.57
  5. Step 5: Solve for x
    x = 30,140,840,380.57/196,201.71
  6. Step 6: Final answer
    x = 153,621.70

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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.