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Finding the Fourth Proportional to 196,882.94, 271,699.57 and 112,000

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Solution

The fourth proportional to 196,882.94, 271,699.57 and 112,000 is: 154,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,882.94 : 271,699.57 = 112,000 : x
  2. Step 2: Convert to fraction form
    196,882.94/271,699.57 = 112,000/x
  3. Step 3: Cross multiply
    196,882.94x = 271,699.57 × 112,000
  4. Step 4: Simplify right side
    196,882.94x = 30,430,351,840
  5. Step 5: Solve for x
    x = 30,430,351,840/196,882.94
  6. Step 6: Final answer
    x = 154,560.63

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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.