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Finding the Fourth Proportional to 204,238.54, 281,807.46 and 119,339.20

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Solution

The fourth proportional to 204,238.54, 281,807.46 and 119,339.20 is: 164,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,238.54 : 281,807.46 = 119,339.20 : x
  2. Step 2: Convert to fraction form
    204,238.54/281,807.46 = 119,339.20/x
  3. Step 3: Cross multiply
    204,238.54x = 281,807.46 × 119,339.20
  4. Step 4: Simplify right side
    204,238.54x = 33,630,676,830.43
  5. Step 5: Solve for x
    x = 33,630,676,830.43/204,238.54
  6. Step 6: Final answer
    x = 164,663.72

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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.