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Finding the Fourth Proportional to 196,974.34, 271,813.41 and 116,409.37

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Solution

The fourth proportional to 196,974.34, 271,813.41 and 116,409.37 is: 160,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,974.34 : 271,813.41 = 116,409.37 : x
  2. Step 2: Convert to fraction form
    196,974.34/271,813.41 = 116,409.37/x
  3. Step 3: Cross multiply
    196,974.34x = 271,813.41 × 116,409.37
  4. Step 4: Simplify right side
    196,974.34x = 31,641,627,815.65
  5. Step 5: Solve for x
    x = 31,641,627,815.65/196,974.34
  6. Step 6: Final answer
    x = 160,638.32

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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.