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Finding the Fourth Proportional to 189,100.80, 283,651.20 and 100,308.60

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Solution

The fourth proportional to 189,100.80, 283,651.20 and 100,308.60 is: 150,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100.80 : 283,651.20 = 100,308.60 : x
  2. Step 2: Convert to fraction form
    189,100.80/283,651.20 = 100,308.60/x
  3. Step 3: Cross multiply
    189,100.80x = 283,651.20 × 100,308.60
  4. Step 4: Simplify right side
    189,100.80x = 28,452,654,760.32
  5. Step 5: Solve for x
    x = 28,452,654,760.32/189,100.80
  6. Step 6: Final answer
    x = 150,462.90

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