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Finding the Fourth Proportional to 180,801, 271,201.50 and 69,993

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Solution

The fourth proportional to 180,801, 271,201.50 and 69,993 is: 104,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,801 : 271,201.50 = 69,993 : x
  2. Step 2: Convert to fraction form
    180,801/271,201.50 = 69,993/x
  3. Step 3: Cross multiply
    180,801x = 271,201.50 × 69,993
  4. Step 4: Simplify right side
    180,801x = 18,982,206,589.50
  5. Step 5: Solve for x
    x = 18,982,206,589.50/180,801
  6. Step 6: Final answer
    x = 104,989.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.