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Finding the Fourth Proportional to 146,301.38, 201,912.33 and 82,643.27

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Solution

The fourth proportional to 146,301.38, 201,912.33 and 82,643.27 is: 114,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,301.38 : 201,912.33 = 82,643.27 : x
  2. Step 2: Convert to fraction form
    146,301.38/201,912.33 = 82,643.27/x
  3. Step 3: Cross multiply
    146,301.38x = 201,912.33 × 82,643.27
  4. Step 4: Simplify right side
    146,301.38x = 16,686,696,019.21
  5. Step 5: Solve for x
    x = 16,686,696,019.21/146,301.38
  6. Step 6: Final answer
    x = 114,057.00

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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.