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Finding the Fourth Proportional to 165,021.84, 227,322 and 140,743.44

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Solution

The fourth proportional to 165,021.84, 227,322 and 140,743.44 is: 193,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,021.84 : 227,322 = 140,743.44 : x
  2. Step 2: Convert to fraction form
    165,021.84/227,322 = 140,743.44/x
  3. Step 3: Cross multiply
    165,021.84x = 227,322 × 140,743.44
  4. Step 4: Simplify right side
    165,021.84x = 31,994,080,267.68
  5. Step 5: Solve for x
    x = 31,994,080,267.68/165,021.84
  6. Step 6: Final answer
    x = 193,877.85

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