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Finding the Fourth Proportional to 225,961.92, 311,837.22 and 135,332.64

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Solution

The fourth proportional to 225,961.92, 311,837.22 and 135,332.64 is: 186,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,961.92 : 311,837.22 = 135,332.64 : x
  2. Step 2: Convert to fraction form
    225,961.92/311,837.22 = 135,332.64/x
  3. Step 3: Cross multiply
    225,961.92x = 311,837.22 × 135,332.64
  4. Step 4: Simplify right side
    225,961.92x = 42,201,754,232.86
  5. Step 5: Solve for x
    x = 42,201,754,232.86/225,961.92
  6. Step 6: Final answer
    x = 186,764.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.