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Finding the Fourth Proportional to 199,676.40, 299,125.80 and 110,770.80

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Solution

The fourth proportional to 199,676.40, 299,125.80 and 110,770.80 is: 165,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,676.40 : 299,125.80 = 110,770.80 : x
  2. Step 2: Convert to fraction form
    199,676.40/299,125.80 = 110,770.80/x
  3. Step 3: Cross multiply
    199,676.40x = 299,125.80 × 110,770.80
  4. Step 4: Simplify right side
    199,676.40x = 33,134,404,166.64
  5. Step 5: Solve for x
    x = 33,134,404,166.64/199,676.40
  6. Step 6: Final answer
    x = 165,940.51

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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.