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Finding the Fourth Proportional to 120,676.80, 165,943.44 and 104,733.60

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Solution

The fourth proportional to 120,676.80, 165,943.44 and 104,733.60 is: 144,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,676.80 : 165,943.44 = 104,733.60 : x
  2. Step 2: Convert to fraction form
    120,676.80/165,943.44 = 104,733.60/x
  3. Step 3: Cross multiply
    120,676.80x = 165,943.44 × 104,733.60
  4. Step 4: Simplify right side
    120,676.80x = 17,379,853,867.58
  5. Step 5: Solve for x
    x = 17,379,853,867.58/120,676.80
  6. Step 6: Final answer
    x = 144,019.84

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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.