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Finding the Fourth Proportional to 199,790.40, 299,296.80 and 110,884.80

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Solution

The fourth proportional to 199,790.40, 299,296.80 and 110,884.80 is: 166,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,790.40 : 299,296.80 = 110,884.80 : x
  2. Step 2: Convert to fraction form
    199,790.40/299,296.80 = 110,884.80/x
  3. Step 3: Cross multiply
    199,790.40x = 299,296.80 × 110,884.80
  4. Step 4: Simplify right side
    199,790.40x = 33,187,465,808.64
  5. Step 5: Solve for x
    x = 33,187,465,808.64/199,790.40
  6. Step 6: Final answer
    x = 166,111.41

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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.