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Finding the Fourth Proportional to 120,771.40, 181,188.42 and 45,892.84

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Solution

The fourth proportional to 120,771.40, 181,188.42 and 45,892.84 is: 68,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,771.40 : 181,188.42 = 45,892.84 : x
  2. Step 2: Convert to fraction form
    120,771.40/181,188.42 = 45,892.84/x
  3. Step 3: Cross multiply
    120,771.40x = 181,188.42 × 45,892.84
  4. Step 4: Simplify right side
    120,771.40x = 8,315,251,168.91
  5. Step 5: Solve for x
    x = 8,315,251,168.91/120,771.40
  6. Step 6: Final answer
    x = 68,851.16

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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.