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Finding the Fourth Proportional to 225,629.25, 311,371.82 and 123,653.88

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Solution

The fourth proportional to 225,629.25, 311,371.82 and 123,653.88 is: 170,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,629.25 : 311,371.82 = 123,653.88 : x
  2. Step 2: Convert to fraction form
    225,629.25/311,371.82 = 123,653.88/x
  3. Step 3: Cross multiply
    225,629.25x = 311,371.82 × 123,653.88
  4. Step 4: Simplify right side
    225,629.25x = 38,502,333,047.39
  5. Step 5: Solve for x
    x = 38,502,333,047.39/225,629.25
  6. Step 6: Final answer
    x = 170,644.25

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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.