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Finding the Fourth Proportional to 196,076.68, 270,575.94 and 111,201.64

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Solution

The fourth proportional to 196,076.68, 270,575.94 and 111,201.64 is: 153,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,076.68 : 270,575.94 = 111,201.64 : x
  2. Step 2: Convert to fraction form
    196,076.68/270,575.94 = 111,201.64/x
  3. Step 3: Cross multiply
    196,076.68x = 270,575.94 × 111,201.64
  4. Step 4: Simplify right side
    196,076.68x = 30,088,488,272.54
  5. Step 5: Solve for x
    x = 30,088,488,272.54/196,076.68
  6. Step 6: Final answer
    x = 153,452.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.