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Finding the Fourth Proportional to 301,636, 416,257.68 and 167,500

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Solution

The fourth proportional to 301,636, 416,257.68 and 167,500 is: 231,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,636 : 416,257.68 = 167,500 : x
  2. Step 2: Convert to fraction form
    301,636/416,257.68 = 167,500/x
  3. Step 3: Cross multiply
    301,636x = 416,257.68 × 167,500
  4. Step 4: Simplify right side
    301,636x = 69,723,161,400
  5. Step 5: Solve for x
    x = 69,723,161,400/301,636
  6. Step 6: Final answer
    x = 231,150

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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.