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Finding the Fourth Proportional to 433,101.85, 649,722.83 and 133,512.37

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Solution

The fourth proportional to 433,101.85, 649,722.83 and 133,512.37 is: 200,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,101.85 : 649,722.83 = 133,512.37 : x
  2. Step 2: Convert to fraction form
    433,101.85/649,722.83 = 133,512.37/x
  3. Step 3: Cross multiply
    433,101.85x = 649,722.83 × 133,512.37
  4. Step 4: Simplify right side
    433,101.85x = 86,746,032,584.54
  5. Step 5: Solve for x
    x = 86,746,032,584.54/433,101.85
  6. Step 6: Final answer
    x = 200,290.15

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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.