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Finding the Fourth Proportional to 283,969.26, 425,829.60 and 106,351.74

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Solution

The fourth proportional to 283,969.26, 425,829.60 and 106,351.74 is: 159,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,969.26 : 425,829.60 = 106,351.74 : x
  2. Step 2: Convert to fraction form
    283,969.26/425,829.60 = 106,351.74/x
  3. Step 3: Cross multiply
    283,969.26x = 425,829.60 × 106,351.74
  4. Step 4: Simplify right side
    283,969.26x = 45,287,718,903.50
  5. Step 5: Solve for x
    x = 45,287,718,903.50/283,969.26
  6. Step 6: Final answer
    x = 159,481.06

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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.