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Finding the Fourth Proportional to 225,896.09, 311,746.46 and 135,234.59

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Solution

The fourth proportional to 225,896.09, 311,746.46 and 135,234.59 is: 186,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,896.09 : 311,746.46 = 135,234.59 : x
  2. Step 2: Convert to fraction form
    225,896.09/311,746.46 = 135,234.59/x
  3. Step 3: Cross multiply
    225,896.09x = 311,746.46 × 135,234.59
  4. Step 4: Simplify right side
    225,896.09x = 42,158,902,467.15
  5. Step 5: Solve for x
    x = 42,158,902,467.15/225,896.09
  6. Step 6: Final answer
    x = 186,629.63

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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.