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Finding the Fourth Proportional to 290,096.26, 435,045.84 and 100,512.37

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Solution

The fourth proportional to 290,096.26, 435,045.84 and 100,512.37 is: 150,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,096.26 : 435,045.84 = 100,512.37 : x
  2. Step 2: Convert to fraction form
    290,096.26/435,045.84 = 100,512.37/x
  3. Step 3: Cross multiply
    290,096.26x = 435,045.84 × 100,512.37
  4. Step 4: Simplify right side
    290,096.26x = 43,727,489,608.10
  5. Step 5: Solve for x
    x = 43,727,489,608.10/290,096.26
  6. Step 6: Final answer
    x = 150,734.42

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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.