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Finding the Fourth Proportional to 201,365.43, 302,046.75 and 68,339.34

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Solution

The fourth proportional to 201,365.43, 302,046.75 and 68,339.34 is: 102,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,365.43 : 302,046.75 = 68,339.34 : x
  2. Step 2: Convert to fraction form
    201,365.43/302,046.75 = 68,339.34/x
  3. Step 3: Cross multiply
    201,365.43x = 302,046.75 × 68,339.34
  4. Step 4: Simplify right side
    201,365.43x = 20,641,675,544.15
  5. Step 5: Solve for x
    x = 20,641,675,544.15/201,365.43
  6. Step 6: Final answer
    x = 102,508.54

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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.