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Finding the Fourth Proportional to 193,765.82, 290,648.66 and 53,524.44

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Solution

The fourth proportional to 193,765.82, 290,648.66 and 53,524.44 is: 80,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,765.82 : 290,648.66 = 53,524.44 : x
  2. Step 2: Convert to fraction form
    193,765.82/290,648.66 = 53,524.44/x
  3. Step 3: Cross multiply
    193,765.82x = 290,648.66 × 53,524.44
  4. Step 4: Simplify right side
    193,765.82x = 15,556,806,495.63
  5. Step 5: Solve for x
    x = 15,556,806,495.63/193,765.82
  6. Step 6: Final answer
    x = 80,286.64

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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.