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Finding the Fourth Proportional to 120,858.40, 181,352.40 and 50,744.80

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Solution

The fourth proportional to 120,858.40, 181,352.40 and 50,744.80 is: 76,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858.40 : 181,352.40 = 50,744.80 : x
  2. Step 2: Convert to fraction form
    120,858.40/181,352.40 = 50,744.80/x
  3. Step 3: Cross multiply
    120,858.40x = 181,352.40 × 50,744.80
  4. Step 4: Simplify right side
    120,858.40x = 9,202,691,267.52
  5. Step 5: Solve for x
    x = 9,202,691,267.52/120,858.40
  6. Step 6: Final answer
    x = 76,144.41

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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.