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Finding the Fourth Proportional to 133,494.50, 200,064.62 and 111,351.26

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Solution

The fourth proportional to 133,494.50, 200,064.62 and 111,351.26 is: 166,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,494.50 : 200,064.62 = 111,351.26 : x
  2. Step 2: Convert to fraction form
    133,494.50/200,064.62 = 111,351.26/x
  3. Step 3: Cross multiply
    133,494.50x = 200,064.62 × 111,351.26
  4. Step 4: Simplify right side
    133,494.50x = 22,277,447,518.42
  5. Step 5: Solve for x
    x = 22,277,447,518.42/133,494.50
  6. Step 6: Final answer
    x = 166,879.14

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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.