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Finding the Fourth Proportional to 196,339, 270,947.67 and 111,456.06

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Solution

The fourth proportional to 196,339, 270,947.67 and 111,456.06 is: 153,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,339 : 270,947.67 = 111,456.06 : x
  2. Step 2: Convert to fraction form
    196,339/270,947.67 = 111,456.06/x
  3. Step 3: Cross multiply
    196,339x = 270,947.67 × 111,456.06
  4. Step 4: Simplify right side
    196,339x = 30,198,759,764.38
  5. Step 5: Solve for x
    x = 30,198,759,764.38/196,339
  6. Step 6: Final answer
    x = 153,809.28

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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.