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Finding the Fourth Proportional to 204,701.54, 282,605.36 and 136,833.47

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Solution

The fourth proportional to 204,701.54, 282,605.36 and 136,833.47 is: 188,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,701.54 : 282,605.36 = 136,833.47 : x
  2. Step 2: Convert to fraction form
    204,701.54/282,605.36 = 136,833.47/x
  3. Step 3: Cross multiply
    204,701.54x = 282,605.36 × 136,833.47
  4. Step 4: Simplify right side
    204,701.54x = 38,669,869,952.21
  5. Step 5: Solve for x
    x = 38,669,869,952.21/204,701.54
  6. Step 6: Final answer
    x = 188,908.54

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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.