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Finding the Fourth Proportional to 295,792.75, 408,194 and 161,656.75

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Solution

The fourth proportional to 295,792.75, 408,194 and 161,656.75 is: 223,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,792.75 : 408,194 = 161,656.75 : x
  2. Step 2: Convert to fraction form
    295,792.75/408,194 = 161,656.75/x
  3. Step 3: Cross multiply
    295,792.75x = 408,194 × 161,656.75
  4. Step 4: Simplify right side
    295,792.75x = 65,987,315,409.50
  5. Step 5: Solve for x
    x = 65,987,315,409.50/295,792.75
  6. Step 6: Final answer
    x = 223,086.32

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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.