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Finding the Fourth Proportional to 196,275, 270,859.86 and 106,851

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Solution

The fourth proportional to 196,275, 270,859.86 and 106,851 is: 147,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,275 : 270,859.86 = 106,851 : x
  2. Step 2: Convert to fraction form
    196,275/270,859.86 = 106,851/x
  3. Step 3: Cross multiply
    196,275x = 270,859.86 × 106,851
  4. Step 4: Simplify right side
    196,275x = 28,941,646,900.86
  5. Step 5: Solve for x
    x = 28,941,646,900.86/196,275
  6. Step 6: Final answer
    x = 147,454.58

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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.