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Finding the Fourth Proportional to 301,976.50, 416,753.49 and 167,866.42

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Solution

The fourth proportional to 301,976.50, 416,753.49 and 167,866.42 is: 231,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,976.50 : 416,753.49 = 167,866.42 : x
  2. Step 2: Convert to fraction form
    301,976.50/416,753.49 = 167,866.42/x
  3. Step 3: Cross multiply
    301,976.50x = 416,753.49 × 167,866.42
  4. Step 4: Simplify right side
    301,976.50x = 69,958,916,388.81
  5. Step 5: Solve for x
    x = 69,958,916,388.81/301,976.50
  6. Step 6: Final answer
    x = 231,670.07

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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.