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Finding the Fourth Proportional to 301,121.76, 415,542.96 and 166,982.88

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Solution

The fourth proportional to 301,121.76, 415,542.96 and 166,982.88 is: 230,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,121.76 : 415,542.96 = 166,982.88 : x
  2. Step 2: Convert to fraction form
    301,121.76/415,542.96 = 166,982.88/x
  3. Step 3: Cross multiply
    301,121.76x = 415,542.96 × 166,982.88
  4. Step 4: Simplify right side
    301,121.76x = 69,388,560,224.52
  5. Step 5: Solve for x
    x = 69,388,560,224.52/301,121.76
  6. Step 6: Final answer
    x = 230,433.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.