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Finding the Fourth Proportional to 222,010.26, 332,987.70 and 130,878

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Solution

The fourth proportional to 222,010.26, 332,987.70 and 130,878 is: 196,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,010.26 : 332,987.70 = 130,878 : x
  2. Step 2: Convert to fraction form
    222,010.26/332,987.70 = 130,878/x
  3. Step 3: Cross multiply
    222,010.26x = 332,987.70 × 130,878
  4. Step 4: Simplify right side
    222,010.26x = 43,580,764,200.60
  5. Step 5: Solve for x
    x = 43,580,764,200.60/222,010.26
  6. Step 6: Final answer
    x = 196,300.68

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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.