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Finding the Fourth Proportional to 150,928.62, 208,271.41 and 82,944.14

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Solution

The fourth proportional to 150,928.62, 208,271.41 and 82,944.14 is: 114,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,928.62 : 208,271.41 = 82,944.14 : x
  2. Step 2: Convert to fraction form
    150,928.62/208,271.41 = 82,944.14/x
  3. Step 3: Cross multiply
    150,928.62x = 208,271.41 × 82,944.14
  4. Step 4: Simplify right side
    150,928.62x = 17,274,892,989.04
  5. Step 5: Solve for x
    x = 17,274,892,989.04/150,928.62
  6. Step 6: Final answer
    x = 114,457.37

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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.