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Finding the Fourth Proportional to 150,940.92, 208,300.38 and 82,965.30

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Solution

The fourth proportional to 150,940.92, 208,300.38 and 82,965.30 is: 114,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,940.92 : 208,300.38 = 82,965.30 : x
  2. Step 2: Convert to fraction form
    150,940.92/208,300.38 = 82,965.30/x
  3. Step 3: Cross multiply
    150,940.92x = 208,300.38 × 82,965.30
  4. Step 4: Simplify right side
    150,940.92x = 17,281,703,516.81
  5. Step 5: Solve for x
    x = 17,281,703,516.81/150,940.92
  6. Step 6: Final answer
    x = 114,493.16

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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.