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Finding the Fourth Proportional to 339,109.50, 467,992.98 and 188,206.50

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Solution

The fourth proportional to 339,109.50, 467,992.98 and 188,206.50 is: 259,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,109.50 : 467,992.98 = 188,206.50 : x
  2. Step 2: Convert to fraction form
    339,109.50/467,992.98 = 188,206.50/x
  3. Step 3: Cross multiply
    339,109.50x = 467,992.98 × 188,206.50
  4. Step 4: Simplify right side
    339,109.50x = 88,079,320,790.37
  5. Step 5: Solve for x
    x = 88,079,320,790.37/339,109.50
  6. Step 6: Final answer
    x = 259,737.11

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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.