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Finding the Fourth Proportional to 209,481.96, 289,080.38 and 113,988.92

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Solution

The fourth proportional to 209,481.96, 289,080.38 and 113,988.92 is: 157,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,481.96 : 289,080.38 = 113,988.92 : x
  2. Step 2: Convert to fraction form
    209,481.96/289,080.38 = 113,988.92/x
  3. Step 3: Cross multiply
    209,481.96x = 289,080.38 × 113,988.92
  4. Step 4: Simplify right side
    209,481.96x = 32,951,960,309.39
  5. Step 5: Solve for x
    x = 32,951,960,309.39/209,481.96
  6. Step 6: Final answer
    x = 157,302.14

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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.