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Finding the Fourth Proportional to 120,692.40, 181,103.40 and 50,578.80

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Solution

The fourth proportional to 120,692.40, 181,103.40 and 50,578.80 is: 75,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,692.40 : 181,103.40 = 50,578.80 : x
  2. Step 2: Convert to fraction form
    120,692.40/181,103.40 = 50,578.80/x
  3. Step 3: Cross multiply
    120,692.40x = 181,103.40 × 50,578.80
  4. Step 4: Simplify right side
    120,692.40x = 9,159,992,647.92
  5. Step 5: Solve for x
    x = 9,159,992,647.92/120,692.40
  6. Step 6: Final answer
    x = 75,895.36

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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.