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Finding the Fourth Proportional to 225,967.92, 311,845.50 and 135,338.64

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Solution

The fourth proportional to 225,967.92, 311,845.50 and 135,338.64 is: 186,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,967.92 : 311,845.50 = 135,338.64 : x
  2. Step 2: Convert to fraction form
    225,967.92/311,845.50 = 135,338.64/x
  3. Step 3: Cross multiply
    225,967.92x = 311,845.50 × 135,338.64
  4. Step 4: Simplify right side
    225,967.92x = 42,204,745,860.12
  5. Step 5: Solve for x
    x = 42,204,745,860.12/225,967.92
  6. Step 6: Final answer
    x = 186,773.17

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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.