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Finding the Fourth Proportional to 120,172.44, 180,278.10 and 50,058.84

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Solution

The fourth proportional to 120,172.44, 180,278.10 and 50,058.84 is: 75,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,172.44 : 180,278.10 = 50,058.84 : x
  2. Step 2: Convert to fraction form
    120,172.44/180,278.10 = 50,058.84/x
  3. Step 3: Cross multiply
    120,172.44x = 180,278.10 × 50,058.84
  4. Step 4: Simplify right side
    120,172.44x = 9,024,512,563.40
  5. Step 5: Solve for x
    x = 9,024,512,563.40/120,172.44
  6. Step 6: Final answer
    x = 75,096.36

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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.