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Finding the Fourth Proportional to 301,099, 415,516.62 and 166,963

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Solution

The fourth proportional to 301,099, 415,516.62 and 166,963 is: 230,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,099 : 415,516.62 = 166,963 : x
  2. Step 2: Convert to fraction form
    301,099/415,516.62 = 166,963/x
  3. Step 3: Cross multiply
    301,099x = 415,516.62 × 166,963
  4. Step 4: Simplify right side
    301,099x = 69,375,901,425.06
  5. Step 5: Solve for x
    x = 69,375,901,425.06/301,099
  6. Step 6: Final answer
    x = 230,408.94

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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.