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Finding the Fourth Proportional to 120,782.40, 181,102.68 and 36,517.20

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Solution

The fourth proportional to 120,782.40, 181,102.68 and 36,517.20 is: 54,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782.40 : 181,102.68 = 36,517.20 : x
  2. Step 2: Convert to fraction form
    120,782.40/181,102.68 = 36,517.20/x
  3. Step 3: Cross multiply
    120,782.40x = 181,102.68 × 36,517.20
  4. Step 4: Simplify right side
    120,782.40x = 6,613,362,786.10
  5. Step 5: Solve for x
    x = 6,613,362,786.10/120,782.40
  6. Step 6: Final answer
    x = 54,754.36

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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.