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Finding the Fourth Proportional to 207,758.82, 311,392.12 and 95,344.32

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Solution

The fourth proportional to 207,758.82, 311,392.12 and 95,344.32 is: 142,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,758.82 : 311,392.12 = 95,344.32 : x
  2. Step 2: Convert to fraction form
    207,758.82/311,392.12 = 95,344.32/x
  3. Step 3: Cross multiply
    207,758.82x = 311,392.12 × 95,344.32
  4. Step 4: Simplify right side
    207,758.82x = 29,689,469,934.76
  5. Step 5: Solve for x
    x = 29,689,469,934.76/207,758.82
  6. Step 6: Final answer
    x = 142,903.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.