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Finding the Fourth Proportional to 323,683, 485,524.50 and 102,067

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Solution

The fourth proportional to 323,683, 485,524.50 and 102,067 is: 153,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,683 : 485,524.50 = 102,067 : x
  2. Step 2: Convert to fraction form
    323,683/485,524.50 = 102,067/x
  3. Step 3: Cross multiply
    323,683x = 485,524.50 × 102,067
  4. Step 4: Simplify right side
    323,683x = 49,556,029,141.50
  5. Step 5: Solve for x
    x = 49,556,029,141.50/323,683
  6. Step 6: Final answer
    x = 153,100.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.