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Finding the Fourth Proportional to 204,585.31, 282,336.49 and 113,941.27

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Solution

The fourth proportional to 204,585.31, 282,336.49 and 113,941.27 is: 157,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,585.31 : 282,336.49 = 113,941.27 : x
  2. Step 2: Convert to fraction form
    204,585.31/282,336.49 = 113,941.27/x
  3. Step 3: Cross multiply
    204,585.31x = 282,336.49 × 113,941.27
  4. Step 4: Simplify right side
    204,585.31x = 32,169,776,504.23
  5. Step 5: Solve for x
    x = 32,169,776,504.23/204,585.31
  6. Step 6: Final answer
    x = 157,243.82

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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.