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Finding the Fourth Proportional to 150,856.56, 208,183.44 and 82,875

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Solution

The fourth proportional to 150,856.56, 208,183.44 and 82,875 is: 114,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,856.56 : 208,183.44 = 82,875 : x
  2. Step 2: Convert to fraction form
    150,856.56/208,183.44 = 82,875/x
  3. Step 3: Cross multiply
    150,856.56x = 208,183.44 × 82,875
  4. Step 4: Simplify right side
    150,856.56x = 17,253,202,590
  5. Step 5: Solve for x
    x = 17,253,202,590/150,856.56
  6. Step 6: Final answer
    x = 114,368.26

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Why These Related Problems?

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