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Finding the Fourth Proportional to 196,388.23, 271,013.31 and 111,499.83

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Solution

The fourth proportional to 196,388.23, 271,013.31 and 111,499.83 is: 153,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,388.23 : 271,013.31 = 111,499.83 : x
  2. Step 2: Convert to fraction form
    196,388.23/271,013.31 = 111,499.83/x
  3. Step 3: Cross multiply
    196,388.23x = 271,013.31 × 111,499.83
  4. Step 4: Simplify right side
    196,388.23x = 30,217,937,992.74
  5. Step 5: Solve for x
    x = 30,217,937,992.74/196,388.23
  6. Step 6: Final answer
    x = 153,868.38

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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.