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Finding the Fourth Proportional to 300,242.67, 414,286.16 and 166,080.75

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Solution

The fourth proportional to 300,242.67, 414,286.16 and 166,080.75 is: 229,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,242.67 : 414,286.16 = 166,080.75 : x
  2. Step 2: Convert to fraction form
    300,242.67/414,286.16 = 166,080.75/x
  3. Step 3: Cross multiply
    300,242.67x = 414,286.16 × 166,080.75
  4. Step 4: Simplify right side
    300,242.67x = 68,804,955,337.02
  5. Step 5: Solve for x
    x = 68,804,955,337.02/300,242.67
  6. Step 6: Final answer
    x = 229,164.48

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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.