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Finding the Fourth Proportional to 210,662.11, 315,928.90 and 110,768.11

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Solution

The fourth proportional to 210,662.11, 315,928.90 and 110,768.11 is: 166,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,662.11 : 315,928.90 = 110,768.11 : x
  2. Step 2: Convert to fraction form
    210,662.11/315,928.90 = 110,768.11/x
  3. Step 3: Cross multiply
    210,662.11x = 315,928.90 × 110,768.11
  4. Step 4: Simplify right side
    210,662.11x = 34,994,847,147.38
  5. Step 5: Solve for x
    x = 34,994,847,147.38/210,662.11
  6. Step 6: Final answer
    x = 166,118.37

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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.