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Finding the Fourth Proportional to 281,773.92, 388,194.48 and 196,756.32

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Solution

The fourth proportional to 281,773.92, 388,194.48 and 196,756.32 is: 271,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,773.92 : 388,194.48 = 196,756.32 : x
  2. Step 2: Convert to fraction form
    281,773.92/388,194.48 = 196,756.32/x
  3. Step 3: Cross multiply
    281,773.92x = 388,194.48 × 196,756.32
  4. Step 4: Simplify right side
    281,773.92x = 76,379,717,329.11
  5. Step 5: Solve for x
    x = 76,379,717,329.11/281,773.92
  6. Step 6: Final answer
    x = 271,067.38

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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.