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Finding the Fourth Proportional to 300,192.73, 414,220.75 and 171,142.42

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Solution

The fourth proportional to 300,192.73, 414,220.75 and 171,142.42 is: 236,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,192.73 : 414,220.75 = 171,142.42 : x
  2. Step 2: Convert to fraction form
    300,192.73/414,220.75 = 171,142.42/x
  3. Step 3: Cross multiply
    300,192.73x = 414,220.75 × 171,142.42
  4. Step 4: Simplify right side
    300,192.73x = 70,890,738,642.40
  5. Step 5: Solve for x
    x = 70,890,738,642.40/300,192.73
  6. Step 6: Final answer
    x = 236,150.75

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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.