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Finding the Fourth Proportional to 120,770.64, 181,086.84 and 50,590.80

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Solution

The fourth proportional to 120,770.64, 181,086.84 and 50,590.80 is: 75,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770.64 : 181,086.84 = 50,590.80 : x
  2. Step 2: Convert to fraction form
    120,770.64/181,086.84 = 50,590.80/x
  3. Step 3: Cross multiply
    120,770.64x = 181,086.84 × 50,590.80
  4. Step 4: Simplify right side
    120,770.64x = 9,161,328,105.07
  5. Step 5: Solve for x
    x = 9,161,328,105.07/120,770.64
  6. Step 6: Final answer
    x = 75,857.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.