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Finding the Fourth Proportional to 120,218.34, 180,343.92 and 50,081.25

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Solution

The fourth proportional to 120,218.34, 180,343.92 and 50,081.25 is: 75,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,218.34 : 180,343.92 = 50,081.25 : x
  2. Step 2: Convert to fraction form
    120,218.34/180,343.92 = 50,081.25/x
  3. Step 3: Cross multiply
    120,218.34x = 180,343.92 × 50,081.25
  4. Step 4: Simplify right side
    120,218.34x = 9,031,848,943.50
  5. Step 5: Solve for x
    x = 9,031,848,943.50/120,218.34
  6. Step 6: Final answer
    x = 75,128.71

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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.