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Finding the Fourth Proportional to 196,698.17, 271,442.24 and 111,815.24

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Solution

The fourth proportional to 196,698.17, 271,442.24 and 111,815.24 is: 154,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,698.17 : 271,442.24 = 111,815.24 : x
  2. Step 2: Convert to fraction form
    196,698.17/271,442.24 = 111,815.24/x
  3. Step 3: Cross multiply
    196,698.17x = 271,442.24 × 111,815.24
  4. Step 4: Simplify right side
    196,698.17x = 30,351,377,714.76
  5. Step 5: Solve for x
    x = 30,351,377,714.76/196,698.17
  6. Step 6: Final answer
    x = 154,304.32

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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.