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Finding the Fourth Proportional to 149,301.38, 206,035.90 and 82,233.38

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Solution

The fourth proportional to 149,301.38, 206,035.90 and 82,233.38 is: 113,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,301.38 : 206,035.90 = 82,233.38 : x
  2. Step 2: Convert to fraction form
    149,301.38/206,035.90 = 82,233.38/x
  3. Step 3: Cross multiply
    149,301.38x = 206,035.90 × 82,233.38
  4. Step 4: Simplify right side
    149,301.38x = 16,943,028,458.34
  5. Step 5: Solve for x
    x = 16,943,028,458.34/149,301.38
  6. Step 6: Final answer
    x = 113,482.06

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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.