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Finding the Fourth Proportional to 189,181.64, 283,949.61 and 95,753

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Solution

The fourth proportional to 189,181.64, 283,949.61 and 95,753 is: 143,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,181.64 : 283,949.61 = 95,753 : x
  2. Step 2: Convert to fraction form
    189,181.64/283,949.61 = 95,753/x
  3. Step 3: Cross multiply
    189,181.64x = 283,949.61 × 95,753
  4. Step 4: Simplify right side
    189,181.64x = 27,189,027,006.33
  5. Step 5: Solve for x
    x = 27,189,027,006.33/189,181.64
  6. Step 6: Final answer
    x = 143,719.16

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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.