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Finding the Fourth Proportional to 295,707.25, 408,076.01 and 161,571.25

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Solution

The fourth proportional to 295,707.25, 408,076.01 and 161,571.25 is: 222,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,707.25 : 408,076.01 = 161,571.25 : x
  2. Step 2: Convert to fraction form
    295,707.25/408,076.01 = 161,571.25/x
  3. Step 3: Cross multiply
    295,707.25x = 408,076.01 × 161,571.25
  4. Step 4: Simplify right side
    295,707.25x = 65,933,351,030.71
  5. Step 5: Solve for x
    x = 65,933,351,030.71/295,707.25
  6. Step 6: Final answer
    x = 222,968.33

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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.