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Finding the Fourth Proportional to 225,198.16, 310,768.68 and 123,223.22

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Solution

The fourth proportional to 225,198.16, 310,768.68 and 123,223.22 is: 170,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,198.16 : 310,768.68 = 123,223.22 : x
  2. Step 2: Convert to fraction form
    225,198.16/310,768.68 = 123,223.22/x
  3. Step 3: Cross multiply
    225,198.16x = 310,768.68 × 123,223.22
  4. Step 4: Simplify right side
    225,198.16x = 38,293,917,424.75
  5. Step 5: Solve for x
    x = 38,293,917,424.75/225,198.16
  6. Step 6: Final answer
    x = 170,045.43

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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.