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Finding the Fourth Proportional to 120,682.20, 181,023.30 and 54,051.60

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Solution

The fourth proportional to 120,682.20, 181,023.30 and 54,051.60 is: 81,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,682.20 : 181,023.30 = 54,051.60 : x
  2. Step 2: Convert to fraction form
    120,682.20/181,023.30 = 54,051.60/x
  3. Step 3: Cross multiply
    120,682.20x = 181,023.30 × 54,051.60
  4. Step 4: Simplify right side
    120,682.20x = 9,784,599,002.28
  5. Step 5: Solve for x
    x = 9,784,599,002.28/120,682.20
  6. Step 6: Final answer
    x = 81,077.40

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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.