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Finding the Fourth Proportional to 201,305.78, 301,770.94 and 68,093.35

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Solution

The fourth proportional to 201,305.78, 301,770.94 and 68,093.35 is: 102,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,305.78 : 301,770.94 = 68,093.35 : x
  2. Step 2: Convert to fraction form
    201,305.78/301,770.94 = 68,093.35/x
  3. Step 3: Cross multiply
    201,305.78x = 301,770.94 × 68,093.35
  4. Step 4: Simplify right side
    201,305.78x = 20,548,594,237.25
  5. Step 5: Solve for x
    x = 20,548,594,237.25/201,305.78
  6. Step 6: Final answer
    x = 102,076.52

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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.