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Finding the Fourth Proportional to 120,217.09, 180,342.05 and 50,080

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Solution

The fourth proportional to 120,217.09, 180,342.05 and 50,080 is: 75,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,217.09 : 180,342.05 = 50,080 : x
  2. Step 2: Convert to fraction form
    120,217.09/180,342.05 = 50,080/x
  3. Step 3: Cross multiply
    120,217.09x = 180,342.05 × 50,080
  4. Step 4: Simplify right side
    120,217.09x = 9,031,529,864
  5. Step 5: Solve for x
    x = 9,031,529,864/120,217.09
  6. Step 6: Final answer
    x = 75,126.84

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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.