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Finding the Fourth Proportional to 225,895.65, 311,738.43 and 123,921.33

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Solution

The fourth proportional to 225,895.65, 311,738.43 and 123,921.33 is: 171,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,895.65 : 311,738.43 = 123,921.33 : x
  2. Step 2: Convert to fraction form
    225,895.65/311,738.43 = 123,921.33/x
  3. Step 3: Cross multiply
    225,895.65x = 311,738.43 × 123,921.33
  4. Step 4: Simplify right side
    225,895.65x = 38,631,040,857.71
  5. Step 5: Solve for x
    x = 38,631,040,857.71/225,895.65
  6. Step 6: Final answer
    x = 171,012.77

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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.