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Finding the Fourth Proportional to 207,770.82, 311,410.14 and 95,356.32

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Solution

The fourth proportional to 207,770.82, 311,410.14 and 95,356.32 is: 142,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,770.82 : 311,410.14 = 95,356.32 : x
  2. Step 2: Convert to fraction form
    207,770.82/311,410.14 = 95,356.32/x
  3. Step 3: Cross multiply
    207,770.82x = 311,410.14 × 95,356.32
  4. Step 4: Simplify right side
    207,770.82x = 29,694,924,961.08
  5. Step 5: Solve for x
    x = 29,694,924,961.08/207,770.82
  6. Step 6: Final answer
    x = 142,921.54

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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.