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Finding the Fourth Proportional to 149,401, 206,173.38 and 89,785

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Solution

The fourth proportional to 149,401, 206,173.38 and 89,785 is: 123,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,401 : 206,173.38 = 89,785 : x
  2. Step 2: Convert to fraction form
    149,401/206,173.38 = 89,785/x
  3. Step 3: Cross multiply
    149,401x = 206,173.38 × 89,785
  4. Step 4: Simplify right side
    149,401x = 18,511,276,923.30
  5. Step 5: Solve for x
    x = 18,511,276,923.30/149,401
  6. Step 6: Final answer
    x = 123,903.30

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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.