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Finding the Fourth Proportional to 302,131.08, 416,945.46 and 166,170.84

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Solution

The fourth proportional to 302,131.08, 416,945.46 and 166,170.84 is: 229,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,131.08 : 416,945.46 = 166,170.84 : x
  2. Step 2: Convert to fraction form
    302,131.08/416,945.46 = 166,170.84/x
  3. Step 3: Cross multiply
    302,131.08x = 416,945.46 × 166,170.84
  4. Step 4: Simplify right side
    302,131.08x = 69,284,177,322.39
  5. Step 5: Solve for x
    x = 69,284,177,322.39/302,131.08
  6. Step 6: Final answer
    x = 229,318.27

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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.