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Finding the Fourth Proportional to 302,183.50, 417,022.41 and 166,210.42

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Solution

The fourth proportional to 302,183.50, 417,022.41 and 166,210.42 is: 229,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,183.50 : 417,022.41 = 166,210.42 : x
  2. Step 2: Convert to fraction form
    302,183.50/417,022.41 = 166,210.42/x
  3. Step 3: Cross multiply
    302,183.50x = 417,022.41 × 166,210.42
  4. Step 4: Simplify right side
    302,183.50x = 69,313,469,915.51
  5. Step 5: Solve for x
    x = 69,313,469,915.51/302,183.50
  6. Step 6: Final answer
    x = 229,375.43

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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.