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Finding the Fourth Proportional to 100,811, 151,216.50 and 35,147

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Solution

The fourth proportional to 100,811, 151,216.50 and 35,147 is: 52,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,811 : 151,216.50 = 35,147 : x
  2. Step 2: Convert to fraction form
    100,811/151,216.50 = 35,147/x
  3. Step 3: Cross multiply
    100,811x = 151,216.50 × 35,147
  4. Step 4: Simplify right side
    100,811x = 5,314,806,325.50
  5. Step 5: Solve for x
    x = 5,314,806,325.50/100,811
  6. Step 6: Final answer
    x = 52,720.50

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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.