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Finding the Fourth Proportional to 196,762.87, 271,531.49 and 111,879.92

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Solution

The fourth proportional to 196,762.87, 271,531.49 and 111,879.92 is: 154,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,762.87 : 271,531.49 = 111,879.92 : x
  2. Step 2: Convert to fraction form
    196,762.87/271,531.49 = 111,879.92/x
  3. Step 3: Cross multiply
    196,762.87x = 271,531.49 × 111,879.92
  4. Step 4: Simplify right side
    196,762.87x = 30,378,921,917.66
  5. Step 5: Solve for x
    x = 30,378,921,917.66/196,762.87
  6. Step 6: Final answer
    x = 154,393.57

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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.