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Finding the Fourth Proportional to 120,782.24, 181,114.84 and 50,642.72

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Solution

The fourth proportional to 120,782.24, 181,114.84 and 50,642.72 is: 75,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782.24 : 181,114.84 = 50,642.72 : x
  2. Step 2: Convert to fraction form
    120,782.24/181,114.84 = 50,642.72/x
  3. Step 3: Cross multiply
    120,782.24x = 181,114.84 × 50,642.72
  4. Step 4: Simplify right side
    120,782.24x = 9,172,148,129.96
  5. Step 5: Solve for x
    x = 9,172,148,129.96/120,782.24
  6. Step 6: Final answer
    x = 75,939.54

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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.