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Finding the Fourth Proportional to 209,223.99, 313,813.30 and 123,843.51

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Solution

The fourth proportional to 209,223.99, 313,813.30 and 123,843.51 is: 185,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,223.99 : 313,813.30 = 123,843.51 : x
  2. Step 2: Convert to fraction form
    209,223.99/313,813.30 = 123,843.51/x
  3. Step 3: Cross multiply
    209,223.99x = 313,813.30 × 123,843.51
  4. Step 4: Simplify right side
    209,223.99x = 38,863,740,556.68
  5. Step 5: Solve for x
    x = 38,863,740,556.68/209,223.99
  6. Step 6: Final answer
    x = 185,751.84

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1.5x scale

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.