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Finding the Fourth Proportional to 225,895.67, 311,738.42 and 123,921.32

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Solution

The fourth proportional to 225,895.67, 311,738.42 and 123,921.32 is: 171,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,895.67 : 311,738.42 = 123,921.32 : x
  2. Step 2: Convert to fraction form
    225,895.67/311,738.42 = 123,921.32/x
  3. Step 3: Cross multiply
    225,895.67x = 311,738.42 × 123,921.32
  4. Step 4: Simplify right side
    225,895.67x = 38,631,034,322.82
  5. Step 5: Solve for x
    x = 38,631,034,322.82/225,895.67
  6. Step 6: Final answer
    x = 171,012.73

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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.