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Finding the Fourth Proportional to 110,447.60, 165,757.80 and 51,290.60

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Solution

The fourth proportional to 110,447.60, 165,757.80 and 51,290.60 is: 76,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,447.60 : 165,757.80 = 51,290.60 : x
  2. Step 2: Convert to fraction form
    110,447.60/165,757.80 = 51,290.60/x
  3. Step 3: Cross multiply
    110,447.60x = 165,757.80 × 51,290.60
  4. Step 4: Simplify right side
    110,447.60x = 8,501,817,016.68
  5. Step 5: Solve for x
    x = 8,501,817,016.68/110,447.60
  6. Step 6: Final answer
    x = 76,976.02

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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.