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Finding the Fourth Proportional to 153,198.12, 211,410.39 and 85,212.78

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Solution

The fourth proportional to 153,198.12, 211,410.39 and 85,212.78 is: 117,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,198.12 : 211,410.39 = 85,212.78 : x
  2. Step 2: Convert to fraction form
    153,198.12/211,410.39 = 85,212.78/x
  3. Step 3: Cross multiply
    153,198.12x = 211,410.39 × 85,212.78
  4. Step 4: Simplify right side
    153,198.12x = 18,014,867,052.78
  5. Step 5: Solve for x
    x = 18,014,867,052.78/153,198.12
  6. Step 6: Final answer
    x = 117,591.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.