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Finding the Fourth Proportional to 226,106.60, 311,919.27 and 135,419

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Solution

The fourth proportional to 226,106.60, 311,919.27 and 135,419 is: 186,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,106.60 : 311,919.27 = 135,419 : x
  2. Step 2: Convert to fraction form
    226,106.60/311,919.27 = 135,419/x
  3. Step 3: Cross multiply
    226,106.60x = 311,919.27 × 135,419
  4. Step 4: Simplify right side
    226,106.60x = 42,239,795,624.13
  5. Step 5: Solve for x
    x = 42,239,795,624.13/226,106.60
  6. Step 6: Final answer
    x = 186,813.63

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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.