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Finding the Fourth Proportional to 209,097.57, 288,027 and 168,698.28

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Solution

The fourth proportional to 209,097.57, 288,027 and 168,698.28 is: 232,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,097.57 : 288,027 = 168,698.28 : x
  2. Step 2: Convert to fraction form
    209,097.57/288,027 = 168,698.28/x
  3. Step 3: Cross multiply
    209,097.57x = 288,027 × 168,698.28
  4. Step 4: Simplify right side
    209,097.57x = 48,589,659,493.56
  5. Step 5: Solve for x
    x = 48,589,659,493.56/209,097.57
  6. Step 6: Final answer
    x = 232,377.93

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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.