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Finding the Fourth Proportional to 301,978.92, 416,729.70 and 166,021.44

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Solution

The fourth proportional to 301,978.92, 416,729.70 and 166,021.44 is: 229,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,978.92 : 416,729.70 = 166,021.44 : x
  2. Step 2: Convert to fraction form
    301,978.92/416,729.70 = 166,021.44/x
  3. Step 3: Cross multiply
    301,978.92x = 416,729.70 × 166,021.44
  4. Step 4: Simplify right side
    301,978.92x = 69,186,064,884.77
  5. Step 5: Solve for x
    x = 69,186,064,884.77/301,978.92
  6. Step 6: Final answer
    x = 229,108.92

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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.