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Finding the Fourth Proportional to 208,067.80, 311,573.70 and 114,467.80

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Solution

The fourth proportional to 208,067.80, 311,573.70 and 114,467.80 is: 171,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,067.80 : 311,573.70 = 114,467.80 : x
  2. Step 2: Convert to fraction form
    208,067.80/311,573.70 = 114,467.80/x
  3. Step 3: Cross multiply
    208,067.80x = 311,573.70 × 114,467.80
  4. Step 4: Simplify right side
    208,067.80x = 35,665,155,976.86
  5. Step 5: Solve for x
    x = 35,665,155,976.86/208,067.80
  6. Step 6: Final answer
    x = 171,411.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.