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Finding the Fourth Proportional to 199,609.80, 298,977.30 and 173,365.80

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Solution

The fourth proportional to 199,609.80, 298,977.30 and 173,365.80 is: 259,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,609.80 : 298,977.30 = 173,365.80 : x
  2. Step 2: Convert to fraction form
    199,609.80/298,977.30 = 173,365.80/x
  3. Step 3: Cross multiply
    199,609.80x = 298,977.30 × 173,365.80
  4. Step 4: Simplify right side
    199,609.80x = 51,832,438,796.34
  5. Step 5: Solve for x
    x = 51,832,438,796.34/199,609.80
  6. Step 6: Final answer
    x = 259,668.81

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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.