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Finding the Fourth Proportional to 149,150.48, 205,825.49 and 82,082.48

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Solution

The fourth proportional to 149,150.48, 205,825.49 and 82,082.48 is: 113,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,150.48 : 205,825.49 = 82,082.48 : x
  2. Step 2: Convert to fraction form
    149,150.48/205,825.49 = 82,082.48/x
  3. Step 3: Cross multiply
    149,150.48x = 205,825.49 × 82,082.48
  4. Step 4: Simplify right side
    149,150.48x = 16,894,666,256.00
  5. Step 5: Solve for x
    x = 16,894,666,256.00/149,150.48
  6. Step 6: Final answer
    x = 113,272.62

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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.