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Finding the Fourth Proportional to 201,880.90, 278,591.97 and 111,245.23

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Solution

The fourth proportional to 201,880.90, 278,591.97 and 111,245.23 is: 153,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,880.90 : 278,591.97 = 111,245.23 : x
  2. Step 2: Convert to fraction form
    201,880.90/278,591.97 = 111,245.23/x
  3. Step 3: Cross multiply
    201,880.90x = 278,591.97 × 111,245.23
  4. Step 4: Simplify right side
    201,880.90x = 30,992,027,778.80
  5. Step 5: Solve for x
    x = 30,992,027,778.80/201,880.90
  6. Step 6: Final answer
    x = 153,516.39

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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.