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Finding the Fourth Proportional to 196,846, 271,662.08 and 111,990.40

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Solution

The fourth proportional to 196,846, 271,662.08 and 111,990.40 is: 154,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,846 : 271,662.08 = 111,990.40 : x
  2. Step 2: Convert to fraction form
    196,846/271,662.08 = 111,990.40/x
  3. Step 3: Cross multiply
    196,846x = 271,662.08 × 111,990.40
  4. Step 4: Simplify right side
    196,846x = 30,423,545,004.03
  5. Step 5: Solve for x
    x = 30,423,545,004.03/196,846
  6. Step 6: Final answer
    x = 154,555.06

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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.