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Finding the Fourth Proportional to 213,860.94, 320,791.59 and 64,116.96

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Solution

The fourth proportional to 213,860.94, 320,791.59 and 64,116.96 is: 96,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,860.94 : 320,791.59 = 64,116.96 : x
  2. Step 2: Convert to fraction form
    213,860.94/320,791.59 = 64,116.96/x
  3. Step 3: Cross multiply
    213,860.94x = 320,791.59 × 64,116.96
  4. Step 4: Simplify right side
    213,860.94x = 20,568,181,544.37
  5. Step 5: Solve for x
    x = 20,568,181,544.37/213,860.94
  6. Step 6: Final answer
    x = 96,175.49

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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.