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Finding the Fourth Proportional to 209,732.16, 314,335.68 and 165,183

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Solution

The fourth proportional to 209,732.16, 314,335.68 and 165,183 is: 247,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,732.16 : 314,335.68 = 165,183 : x
  2. Step 2: Convert to fraction form
    209,732.16/314,335.68 = 165,183/x
  3. Step 3: Cross multiply
    209,732.16x = 314,335.68 × 165,183
  4. Step 4: Simplify right side
    209,732.16x = 51,922,910,629.44
  5. Step 5: Solve for x
    x = 51,922,910,629.44/209,732.16
  6. Step 6: Final answer
    x = 247,567.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.