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Finding the Fourth Proportional to 281,172.44, 421,760.28 and 114,960.44

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Solution

The fourth proportional to 281,172.44, 421,760.28 and 114,960.44 is: 172,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,172.44 : 421,760.28 = 114,960.44 : x
  2. Step 2: Convert to fraction form
    281,172.44/421,760.28 = 114,960.44/x
  3. Step 3: Cross multiply
    281,172.44x = 421,760.28 × 114,960.44
  4. Step 4: Simplify right side
    281,172.44x = 48,485,747,363.32
  5. Step 5: Solve for x
    x = 48,485,747,363.32/281,172.44
  6. Step 6: Final answer
    x = 172,441.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.