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Finding the Fourth Proportional to 90,647.80, 135,971.70 and 82,337.20

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Solution

The fourth proportional to 90,647.80, 135,971.70 and 82,337.20 is: 123,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,647.80 : 135,971.70 = 82,337.20 : x
  2. Step 2: Convert to fraction form
    90,647.80/135,971.70 = 82,337.20/x
  3. Step 3: Cross multiply
    90,647.80x = 135,971.70 × 82,337.20
  4. Step 4: Simplify right side
    90,647.80x = 11,195,529,057.24
  5. Step 5: Solve for x
    x = 11,195,529,057.24/90,647.80
  6. Step 6: Final answer
    x = 123,505.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.