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Finding the Fourth Proportional to 196,768.93, 271,539.87 and 111,886

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Solution

The fourth proportional to 196,768.93, 271,539.87 and 111,886 is: 154,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,768.93 : 271,539.87 = 111,886 : x
  2. Step 2: Convert to fraction form
    196,768.93/271,539.87 = 111,886/x
  3. Step 3: Cross multiply
    196,768.93x = 271,539.87 × 111,886
  4. Step 4: Simplify right side
    196,768.93x = 30,381,509,894.82
  5. Step 5: Solve for x
    x = 30,381,509,894.82/196,768.93
  6. Step 6: Final answer
    x = 154,401.97

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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.