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Finding the Fourth Proportional to 109,903.80, 164,855.70 and 82,255.80

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Solution

The fourth proportional to 109,903.80, 164,855.70 and 82,255.80 is: 123,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,903.80 : 164,855.70 = 82,255.80 : x
  2. Step 2: Convert to fraction form
    109,903.80/164,855.70 = 82,255.80/x
  3. Step 3: Cross multiply
    109,903.80x = 164,855.70 × 82,255.80
  4. Step 4: Simplify right side
    109,903.80x = 13,560,337,488.06
  5. Step 5: Solve for x
    x = 13,560,337,488.06/109,903.80
  6. Step 6: Final answer
    x = 123,383.70

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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.