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Finding the Fourth Proportional to 204,092.49, 281,670.42 and 123,564.39

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Solution

The fourth proportional to 204,092.49, 281,670.42 and 123,564.39 is: 170,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,092.49 : 281,670.42 = 123,564.39 : x
  2. Step 2: Convert to fraction form
    204,092.49/281,670.42 = 123,564.39/x
  3. Step 3: Cross multiply
    204,092.49x = 281,670.42 × 123,564.39
  4. Step 4: Simplify right side
    204,092.49x = 34,804,433,628.34
  5. Step 5: Solve for x
    x = 34,804,433,628.34/204,092.49
  6. Step 6: Final answer
    x = 170,532.65

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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.