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Finding the Fourth Proportional to 230,684.69, 317,982.34 and 157,961.87

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Solution

The fourth proportional to 230,684.69, 317,982.34 and 157,961.87 is: 217,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,684.69 : 317,982.34 = 157,961.87 : x
  2. Step 2: Convert to fraction form
    230,684.69/317,982.34 = 157,961.87/x
  3. Step 3: Cross multiply
    230,684.69x = 317,982.34 × 157,961.87
  4. Step 4: Simplify right side
    230,684.69x = 50,229,085,053.38
  5. Step 5: Solve for x
    x = 50,229,085,053.38/230,684.69
  6. Step 6: Final answer
    x = 217,739.14

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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.