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Finding the Fourth Proportional to 204,262.48, 281,882.21 and 114,838.48

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Solution

The fourth proportional to 204,262.48, 281,882.21 and 114,838.48 is: 158,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,262.48 : 281,882.21 = 114,838.48 : x
  2. Step 2: Convert to fraction form
    204,262.48/281,882.21 = 114,838.48/x
  3. Step 3: Cross multiply
    204,262.48x = 281,882.21 × 114,838.48
  4. Step 4: Simplify right side
    204,262.48x = 32,370,924,535.44
  5. Step 5: Solve for x
    x = 32,370,924,535.44/204,262.48
  6. Step 6: Final answer
    x = 158,477.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.