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Finding the Fourth Proportional to 226,089.21, 311,991.66 and 134,212.43

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Solution

The fourth proportional to 226,089.21, 311,991.66 and 134,212.43 is: 185,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,089.21 : 311,991.66 = 134,212.43 : x
  2. Step 2: Convert to fraction form
    226,089.21/311,991.66 = 134,212.43/x
  3. Step 3: Cross multiply
    226,089.21x = 311,991.66 × 134,212.43
  4. Step 4: Simplify right side
    226,089.21x = 41,873,157,268.38
  5. Step 5: Solve for x
    x = 41,873,157,268.38/226,089.21
  6. Step 6: Final answer
    x = 185,206.35

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Why These Related Problems?

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