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Finding the Fourth Proportional to 167,258.14, 230,812.38 and 90,777.37

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Solution

The fourth proportional to 167,258.14, 230,812.38 and 90,777.37 is: 125,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,258.14 : 230,812.38 = 90,777.37 : x
  2. Step 2: Convert to fraction form
    167,258.14/230,812.38 = 90,777.37/x
  3. Step 3: Cross multiply
    167,258.14x = 230,812.38 × 90,777.37
  4. Step 4: Simplify right side
    167,258.14x = 20,952,540,819.84
  5. Step 5: Solve for x
    x = 20,952,540,819.84/167,258.14
  6. Step 6: Final answer
    x = 125,270.68

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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.