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Finding the Fourth Proportional to 209,595, 289,262.97 and 118,975.44

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Solution

The fourth proportional to 209,595, 289,262.97 and 118,975.44 is: 164,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595 : 289,262.97 = 118,975.44 : x
  2. Step 2: Convert to fraction form
    209,595/289,262.97 = 118,975.44/x
  3. Step 3: Cross multiply
    209,595x = 289,262.97 × 118,975.44
  4. Step 4: Simplify right side
    209,595x = 34,415,189,131.46
  5. Step 5: Solve for x
    x = 34,415,189,131.46/209,595
  6. Step 6: Final answer
    x = 164,198.52

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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.