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Finding the Fourth Proportional to 152,069.20, 209,847 and 84,082.24

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Solution

The fourth proportional to 152,069.20, 209,847 and 84,082.24 is: 116,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,069.20 : 209,847 = 84,082.24 : x
  2. Step 2: Convert to fraction form
    152,069.20/209,847 = 84,082.24/x
  3. Step 3: Cross multiply
    152,069.20x = 209,847 × 84,082.24
  4. Step 4: Simplify right side
    152,069.20x = 17,644,405,817.28
  5. Step 5: Solve for x
    x = 17,644,405,817.28/152,069.20
  6. Step 6: Final answer
    x = 116,028.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.