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Finding the Fourth Proportional to 256,074.80, 353,183.40 and 164,202.80

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Solution

The fourth proportional to 256,074.80, 353,183.40 and 164,202.80 is: 226,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,074.80 : 353,183.40 = 164,202.80 : x
  2. Step 2: Convert to fraction form
    256,074.80/353,183.40 = 164,202.80/x
  3. Step 3: Cross multiply
    256,074.80x = 353,183.40 × 164,202.80
  4. Step 4: Simplify right side
    256,074.80x = 57,993,703,193.52
  5. Step 5: Solve for x
    x = 57,993,703,193.52/256,074.80
  6. Step 6: Final answer
    x = 226,471.73

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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.