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Finding the Fourth Proportional to 301,956.88, 416,709.82 and 166,001.22

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Solution

The fourth proportional to 301,956.88, 416,709.82 and 166,001.22 is: 229,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,956.88 : 416,709.82 = 166,001.22 : x
  2. Step 2: Convert to fraction form
    301,956.88/416,709.82 = 166,001.22/x
  3. Step 3: Cross multiply
    301,956.88x = 416,709.82 × 166,001.22
  4. Step 4: Simplify right side
    301,956.88x = 69,174,338,505.98
  5. Step 5: Solve for x
    x = 69,174,338,505.98/301,956.88
  6. Step 6: Final answer
    x = 229,086.81

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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.