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Finding the Fourth Proportional to 120,674.61, 181,014.21 and 41,791.41

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Solution

The fourth proportional to 120,674.61, 181,014.21 and 41,791.41 is: 62,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,674.61 : 181,014.21 = 41,791.41 : x
  2. Step 2: Convert to fraction form
    120,674.61/181,014.21 = 41,791.41/x
  3. Step 3: Cross multiply
    120,674.61x = 181,014.21 × 41,791.41
  4. Step 4: Simplify right side
    120,674.61x = 7,564,839,065.94
  5. Step 5: Solve for x
    x = 7,564,839,065.94/120,674.61
  6. Step 6: Final answer
    x = 62,687.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.