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Finding the Fourth Proportional to 196,433.80, 271,080.53 and 111,551.47

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Solution

The fourth proportional to 196,433.80, 271,080.53 and 111,551.47 is: 153,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,433.80 : 271,080.53 = 111,551.47 : x
  2. Step 2: Convert to fraction form
    196,433.80/271,080.53 = 111,551.47/x
  3. Step 3: Cross multiply
    196,433.80x = 271,080.53 × 111,551.47
  4. Step 4: Simplify right side
    196,433.80x = 30,239,431,609.88
  5. Step 5: Solve for x
    x = 30,239,431,609.88/196,433.80
  6. Step 6: Final answer
    x = 153,942.10

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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.