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Finding the Fourth Proportional to 180,692.34, 271,039.11 and 45,756.34

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Solution

The fourth proportional to 180,692.34, 271,039.11 and 45,756.34 is: 68,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,692.34 : 271,039.11 = 45,756.34 : x
  2. Step 2: Convert to fraction form
    180,692.34/271,039.11 = 45,756.34/x
  3. Step 3: Cross multiply
    180,692.34x = 271,039.11 × 45,756.34
  4. Step 4: Simplify right side
    180,692.34x = 12,401,756,086.48
  5. Step 5: Solve for x
    x = 12,401,756,086.48/180,692.34
  6. Step 6: Final answer
    x = 68,634.65

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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.