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Finding the Fourth Proportional to 301,999.63, 416,759.76 and 166,035.89

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Solution

The fourth proportional to 301,999.63, 416,759.76 and 166,035.89 is: 229,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,999.63 : 416,759.76 = 166,035.89 : x
  2. Step 2: Convert to fraction form
    301,999.63/416,759.76 = 166,035.89/x
  3. Step 3: Cross multiply
    301,999.63x = 416,759.76 × 166,035.89
  4. Step 4: Simplify right side
    301,999.63x = 69,197,078,709.69
  5. Step 5: Solve for x
    x = 69,197,078,709.69/301,999.63
  6. Step 6: Final answer
    x = 229,129.68

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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.