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Finding the Fourth Proportional to 150,651.40, 225,977.10 and 142,486.60

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Solution

The fourth proportional to 150,651.40, 225,977.10 and 142,486.60 is: 213,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,651.40 : 225,977.10 = 142,486.60 : x
  2. Step 2: Convert to fraction form
    150,651.40/225,977.10 = 142,486.60/x
  3. Step 3: Cross multiply
    150,651.40x = 225,977.10 × 142,486.60
  4. Step 4: Simplify right side
    150,651.40x = 32,198,708,656.86
  5. Step 5: Solve for x
    x = 32,198,708,656.86/150,651.40
  6. Step 6: Final answer
    x = 213,729.90

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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.