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Finding the Fourth Proportional to 199,777, 275,692.26 and 110,353

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Solution

The fourth proportional to 199,777, 275,692.26 and 110,353 is: 152,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,777 : 275,692.26 = 110,353 : x
  2. Step 2: Convert to fraction form
    199,777/275,692.26 = 110,353/x
  3. Step 3: Cross multiply
    199,777x = 275,692.26 × 110,353
  4. Step 4: Simplify right side
    199,777x = 30,423,467,967.78
  5. Step 5: Solve for x
    x = 30,423,467,967.78/199,777
  6. Step 6: Final answer
    x = 152,287.14

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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.