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Finding the Fourth Proportional to 165,404.86, 228,253.83 and 93,791.42

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Solution

The fourth proportional to 165,404.86, 228,253.83 and 93,791.42 is: 129,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,404.86 : 228,253.83 = 93,791.42 : x
  2. Step 2: Convert to fraction form
    165,404.86/228,253.83 = 93,791.42/x
  3. Step 3: Cross multiply
    165,404.86x = 228,253.83 × 93,791.42
  4. Step 4: Simplify right side
    165,404.86x = 21,408,250,836.14
  5. Step 5: Solve for x
    x = 21,408,250,836.14/165,404.86
  6. Step 6: Final answer
    x = 129,429.39

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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.