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Finding the Fourth Proportional to 201,494.69, 301,992.92 and 101,683.44

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Solution

The fourth proportional to 201,494.69, 301,992.92 and 101,683.44 is: 152,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,494.69 : 301,992.92 = 101,683.44 : x
  2. Step 2: Convert to fraction form
    201,494.69/301,992.92 = 101,683.44/x
  3. Step 3: Cross multiply
    201,494.69x = 301,992.92 × 101,683.44
  4. Step 4: Simplify right side
    201,494.69x = 30,707,678,452.83
  5. Step 5: Solve for x
    x = 30,707,678,452.83/201,494.69
  6. Step 6: Final answer
    x = 152,399.45

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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.