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Finding the Fourth Proportional to 281,774.92, 388,195.86 and 196,757.32

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Solution

The fourth proportional to 281,774.92, 388,195.86 and 196,757.32 is: 271,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,774.92 : 388,195.86 = 196,757.32 : x
  2. Step 2: Convert to fraction form
    281,774.92/388,195.86 = 196,757.32/x
  3. Step 3: Cross multiply
    281,774.92x = 388,195.86 × 196,757.32
  4. Step 4: Simplify right side
    281,774.92x = 76,380,377,048.70
  5. Step 5: Solve for x
    x = 76,380,377,048.70/281,774.92
  6. Step 6: Final answer
    x = 271,068.76

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1.5x scale

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.