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Finding the Fourth Proportional to 204,896.88, 282,593.88 and 141,220.08

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Solution

The fourth proportional to 204,896.88, 282,593.88 and 141,220.08 is: 194,770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,896.88 : 282,593.88 = 141,220.08 : x
  2. Step 2: Convert to fraction form
    204,896.88/282,593.88 = 141,220.08/x
  3. Step 3: Cross multiply
    204,896.88x = 282,593.88 × 141,220.08
  4. Step 4: Simplify right side
    204,896.88x = 39,907,930,341.11
  5. Step 5: Solve for x
    x = 39,907,930,341.11/204,896.88
  6. Step 6: Final answer
    x = 194,770.81

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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.