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Finding the Fourth Proportional to 208,366.50, 312,717.33 and 108,556.50

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Solution

The fourth proportional to 208,366.50, 312,717.33 and 108,556.50 is: 162,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,366.50 : 312,717.33 = 108,556.50 : x
  2. Step 2: Convert to fraction form
    208,366.50/312,717.33 = 108,556.50/x
  3. Step 3: Cross multiply
    208,366.50x = 312,717.33 × 108,556.50
  4. Step 4: Simplify right side
    208,366.50x = 33,947,498,834.15
  5. Step 5: Solve for x
    x = 33,947,498,834.15/208,366.50
  6. Step 6: Final answer
    x = 162,922.06

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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.