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Finding the Fourth Proportional to 262,692.96, 394,078.38 and 96,468

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Solution

The fourth proportional to 262,692.96, 394,078.38 and 96,468 is: 144,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,692.96 : 394,078.38 = 96,468 : x
  2. Step 2: Convert to fraction form
    262,692.96/394,078.38 = 96,468/x
  3. Step 3: Cross multiply
    262,692.96x = 394,078.38 × 96,468
  4. Step 4: Simplify right side
    262,692.96x = 38,015,953,161.84
  5. Step 5: Solve for x
    x = 38,015,953,161.84/262,692.96
  6. Step 6: Final answer
    x = 144,716.30

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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.