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Finding the Fourth Proportional to 217,296.36, 325,751.34 and 82,266.42

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Solution

The fourth proportional to 217,296.36, 325,751.34 and 82,266.42 is: 123,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,296.36 : 325,751.34 = 82,266.42 : x
  2. Step 2: Convert to fraction form
    217,296.36/325,751.34 = 82,266.42/x
  3. Step 3: Cross multiply
    217,296.36x = 325,751.34 × 82,266.42
  4. Step 4: Simplify right side
    217,296.36x = 26,798,396,552.00
  5. Step 5: Solve for x
    x = 26,798,396,552.00/217,296.36
  6. Step 6: Final answer
    x = 123,326.49

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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.