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Finding the Fourth Proportional to 199,661.60, 275,538.68 and 109,023.31

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Solution

The fourth proportional to 199,661.60, 275,538.68 and 109,023.31 is: 150,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,661.60 : 275,538.68 = 109,023.31 : x
  2. Step 2: Convert to fraction form
    199,661.60/275,538.68 = 109,023.31/x
  3. Step 3: Cross multiply
    199,661.60x = 275,538.68 × 109,023.31
  4. Step 4: Simplify right side
    199,661.60x = 30,040,139,748.03
  5. Step 5: Solve for x
    x = 30,040,139,748.03/199,661.60
  6. Step 6: Final answer
    x = 150,455.27

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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.