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Finding the Fourth Proportional to 150,843.45, 208,165.32 and 82,861.80

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Solution

The fourth proportional to 150,843.45, 208,165.32 and 82,861.80 is: 114,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,843.45 : 208,165.32 = 82,861.80 : x
  2. Step 2: Convert to fraction form
    150,843.45/208,165.32 = 82,861.80/x
  3. Step 3: Cross multiply
    150,843.45x = 208,165.32 × 82,861.80
  4. Step 4: Simplify right side
    150,843.45x = 17,248,953,112.78
  5. Step 5: Solve for x
    x = 17,248,953,112.78/150,843.45
  6. Step 6: Final answer
    x = 114,350.03

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1.5x scale

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.