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Finding the Fourth Proportional to 180,811, 271,216.52 and 70,003

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Solution

The fourth proportional to 180,811, 271,216.52 and 70,003 is: 105,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,811 : 271,216.52 = 70,003 : x
  2. Step 2: Convert to fraction form
    180,811/271,216.52 = 70,003/x
  3. Step 3: Cross multiply
    180,811x = 271,216.52 × 70,003
  4. Step 4: Simplify right side
    180,811x = 18,985,970,049.56
  5. Step 5: Solve for x
    x = 18,985,970,049.56/180,811
  6. Step 6: Final answer
    x = 105,004.51

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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.