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Finding the Fourth Proportional to 182,879.44, 252,374 and 102,308.31

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Solution

The fourth proportional to 182,879.44, 252,374 and 102,308.31 is: 141,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,879.44 : 252,374 = 102,308.31 : x
  2. Step 2: Convert to fraction form
    182,879.44/252,374 = 102,308.31/x
  3. Step 3: Cross multiply
    182,879.44x = 252,374 × 102,308.31
  4. Step 4: Simplify right side
    182,879.44x = 25,819,957,427.94
  5. Step 5: Solve for x
    x = 25,819,957,427.94/182,879.44
  6. Step 6: Final answer
    x = 141,185.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.