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Finding the Fourth Proportional to 120,770.80, 181,156.20 and 92,744.80

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Solution

The fourth proportional to 120,770.80, 181,156.20 and 92,744.80 is: 139,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770.80 : 181,156.20 = 92,744.80 : x
  2. Step 2: Convert to fraction form
    120,770.80/181,156.20 = 92,744.80/x
  3. Step 3: Cross multiply
    120,770.80x = 181,156.20 × 92,744.80
  4. Step 4: Simplify right side
    120,770.80x = 16,801,295,537.76
  5. Step 5: Solve for x
    x = 16,801,295,537.76/120,770.80
  6. Step 6: Final answer
    x = 139,117.20

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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.