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Finding the Fourth Proportional to 120,052.56, 165,481.10 and 94,518.48

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Solution

The fourth proportional to 120,052.56, 165,481.10 and 94,518.48 is: 130,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,052.56 : 165,481.10 = 94,518.48 : x
  2. Step 2: Convert to fraction form
    120,052.56/165,481.10 = 94,518.48/x
  3. Step 3: Cross multiply
    120,052.56x = 165,481.10 × 94,518.48
  4. Step 4: Simplify right side
    120,052.56x = 15,641,022,040.73
  5. Step 5: Solve for x
    x = 15,641,022,040.73/120,052.56
  6. Step 6: Final answer
    x = 130,284.79

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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.