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Finding the Fourth Proportional to 120,219.84, 180,346.17 and 50,082.75

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Solution

The fourth proportional to 120,219.84, 180,346.17 and 50,082.75 is: 75,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,219.84 : 180,346.17 = 50,082.75 : x
  2. Step 2: Convert to fraction form
    120,219.84/180,346.17 = 50,082.75/x
  3. Step 3: Cross multiply
    120,219.84x = 180,346.17 × 50,082.75
  4. Step 4: Simplify right side
    120,219.84x = 9,032,232,145.57
  5. Step 5: Solve for x
    x = 9,032,232,145.57/120,219.84
  6. Step 6: Final answer
    x = 75,130.96

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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.