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Finding the Fourth Proportional to 204,339.94, 281,986.40 and 114,915.94

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Solution

The fourth proportional to 204,339.94, 281,986.40 and 114,915.94 is: 158,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,339.94 : 281,986.40 = 114,915.94 : x
  2. Step 2: Convert to fraction form
    204,339.94/281,986.40 = 114,915.94/x
  3. Step 3: Cross multiply
    204,339.94x = 281,986.40 × 114,915.94
  4. Step 4: Simplify right side
    204,339.94x = 32,404,732,223.22
  5. Step 5: Solve for x
    x = 32,404,732,223.22/204,339.94
  6. Step 6: Final answer
    x = 158,582.47

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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.