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Finding the Fourth Proportional to 301,989.84, 416,735.36 and 166,022.81

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Solution

The fourth proportional to 301,989.84, 416,735.36 and 166,022.81 is: 229,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,989.84 : 416,735.36 = 166,022.81 : x
  2. Step 2: Convert to fraction form
    301,989.84/416,735.36 = 166,022.81/x
  3. Step 3: Cross multiply
    301,989.84x = 416,735.36 × 166,022.81
  4. Step 4: Simplify right side
    301,989.84x = 69,187,573,669.30
  5. Step 5: Solve for x
    x = 69,187,573,669.30/301,989.84
  6. Step 6: Final answer
    x = 229,105.63

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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.