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Finding the Fourth Proportional to 339,106.50, 467,988.84 and 188,203.50

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Solution

The fourth proportional to 339,106.50, 467,988.84 and 188,203.50 is: 259,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,106.50 : 467,988.84 = 188,203.50 : x
  2. Step 2: Convert to fraction form
    339,106.50/467,988.84 = 188,203.50/x
  3. Step 3: Cross multiply
    339,106.50x = 467,988.84 × 188,203.50
  4. Step 4: Simplify right side
    339,106.50x = 88,077,137,648.94
  5. Step 5: Solve for x
    x = 88,077,137,648.94/339,106.50
  6. Step 6: Final answer
    x = 259,732.97

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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.