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Finding the Fourth Proportional to 301,961.70, 416,712.41 and 166,001.37

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Solution

The fourth proportional to 301,961.70, 416,712.41 and 166,001.37 is: 229,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,961.70 : 416,712.41 = 166,001.37 : x
  2. Step 2: Convert to fraction form
    301,961.70/416,712.41 = 166,001.37/x
  3. Step 3: Cross multiply
    301,961.70x = 416,712.41 × 166,001.37
  4. Step 4: Simplify right side
    301,961.70x = 69,174,830,956.00
  5. Step 5: Solve for x
    x = 69,174,830,956.00/301,961.70
  6. Step 6: Final answer
    x = 229,084.78

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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.