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Finding the Fourth Proportional to 82,015.40, 123,023.10 and 80,460.20

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Solution

The fourth proportional to 82,015.40, 123,023.10 and 80,460.20 is: 120,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015.40 : 123,023.10 = 80,460.20 : x
  2. Step 2: Convert to fraction form
    82,015.40/123,023.10 = 80,460.20/x
  3. Step 3: Cross multiply
    82,015.40x = 123,023.10 × 80,460.20
  4. Step 4: Simplify right side
    82,015.40x = 9,898,463,230.62
  5. Step 5: Solve for x
    x = 9,898,463,230.62/82,015.40
  6. Step 6: Final answer
    x = 120,690.30

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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.