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Finding the Fourth Proportional to 196,834, 271,629.44 and 111,950.96

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Solution

The fourth proportional to 196,834, 271,629.44 and 111,950.96 is: 154,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,834 : 271,629.44 = 111,950.96 : x
  2. Step 2: Convert to fraction form
    196,834/271,629.44 = 111,950.96/x
  3. Step 3: Cross multiply
    196,834x = 271,629.44 × 111,950.96
  4. Step 4: Simplify right side
    196,834x = 30,409,176,572.26
  5. Step 5: Solve for x
    x = 30,409,176,572.26/196,834
  6. Step 6: Final answer
    x = 154,491.48

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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.