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Finding the Fourth Proportional to 146,301.44, 201,912.42 and 82,643.34

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Solution

The fourth proportional to 146,301.44, 201,912.42 and 82,643.34 is: 114,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,301.44 : 201,912.42 = 82,643.34 : x
  2. Step 2: Convert to fraction form
    146,301.44/201,912.42 = 82,643.34/x
  3. Step 3: Cross multiply
    146,301.44x = 201,912.42 × 82,643.34
  4. Step 4: Simplify right side
    146,301.44x = 16,686,716,776.28
  5. Step 5: Solve for x
    x = 16,686,716,776.28/146,301.44
  6. Step 6: Final answer
    x = 114,057.09

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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.