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Finding the Fourth Proportional to 301,961.30, 416,660.94 and 166,001

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Solution

The fourth proportional to 301,961.30, 416,660.94 and 166,001 is: 229,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,961.30 : 416,660.94 = 166,001 : x
  2. Step 2: Convert to fraction form
    301,961.30/416,660.94 = 166,001/x
  3. Step 3: Cross multiply
    301,961.30x = 416,660.94 × 166,001
  4. Step 4: Simplify right side
    301,961.30x = 69,166,132,700.94
  5. Step 5: Solve for x
    x = 69,166,132,700.94/301,961.30
  6. Step 6: Final answer
    x = 229,056.28

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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.