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Finding the Fourth Proportional to 204,356.70, 282,020.22 and 123,738.66

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Solution

The fourth proportional to 204,356.70, 282,020.22 and 123,738.66 is: 170,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,356.70 : 282,020.22 = 123,738.66 : x
  2. Step 2: Convert to fraction form
    204,356.70/282,020.22 = 123,738.66/x
  3. Step 3: Cross multiply
    204,356.70x = 282,020.22 × 123,738.66
  4. Step 4: Simplify right side
    204,356.70x = 34,896,804,115.71
  5. Step 5: Solve for x
    x = 34,896,804,115.71/204,356.70
  6. Step 6: Final answer
    x = 170,764.18

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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.