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Finding the Fourth Proportional to 120,692.63, 180,997.94 and 41,788.41

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Solution

The fourth proportional to 120,692.63, 180,997.94 and 41,788.41 is: 62,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,692.63 : 180,997.94 = 41,788.41 : x
  2. Step 2: Convert to fraction form
    120,692.63/180,997.94 = 41,788.41/x
  3. Step 3: Cross multiply
    120,692.63x = 180,997.94 × 41,788.41
  4. Step 4: Simplify right side
    120,692.63x = 7,563,615,551.60
  5. Step 5: Solve for x
    x = 7,563,615,551.60/120,692.63
  6. Step 6: Final answer
    x = 62,668.41

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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.