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Finding the Fourth Proportional to 100,201, 150,311.46 and 37,037.68

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Solution

The fourth proportional to 100,201, 150,311.46 and 37,037.68 is: 55,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201 : 150,311.46 = 37,037.68 : x
  2. Step 2: Convert to fraction form
    100,201/150,311.46 = 37,037.68/x
  3. Step 3: Cross multiply
    100,201x = 150,311.46 × 37,037.68
  4. Step 4: Simplify right side
    100,201x = 5,567,187,755.81
  5. Step 5: Solve for x
    x = 5,567,187,755.81/100,201
  6. Step 6: Final answer
    x = 55,560.20

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1.5x scale

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.