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Finding the Fourth Proportional to 209,101.96, 288,566.58 and 123,067

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Solution

The fourth proportional to 209,101.96, 288,566.58 and 123,067 is: 169,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,101.96 : 288,566.58 = 123,067 : x
  2. Step 2: Convert to fraction form
    209,101.96/288,566.58 = 123,067/x
  3. Step 3: Cross multiply
    209,101.96x = 288,566.58 × 123,067
  4. Step 4: Simplify right side
    209,101.96x = 35,513,023,300.86
  5. Step 5: Solve for x
    x = 35,513,023,300.86/209,101.96
  6. Step 6: Final answer
    x = 169,835.92

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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.