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Finding the Fourth Proportional to 200,891.48, 301,327.46 and 74,556.33

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Solution

The fourth proportional to 200,891.48, 301,327.46 and 74,556.33 is: 111,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,891.48 : 301,327.46 = 74,556.33 : x
  2. Step 2: Convert to fraction form
    200,891.48/301,327.46 = 74,556.33/x
  3. Step 3: Cross multiply
    200,891.48x = 301,327.46 × 74,556.33
  4. Step 4: Simplify right side
    200,891.48x = 22,465,869,173.04
  5. Step 5: Solve for x
    x = 22,465,869,173.04/200,891.48
  6. Step 6: Final answer
    x = 111,830.87

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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.