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Finding the Fourth Proportional to 217,727.58, 300,496.86 and 132,893.94

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Solution

The fourth proportional to 217,727.58, 300,496.86 and 132,893.94 is: 183,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,727.58 : 300,496.86 = 132,893.94 : x
  2. Step 2: Convert to fraction form
    217,727.58/300,496.86 = 132,893.94/x
  3. Step 3: Cross multiply
    217,727.58x = 300,496.86 × 132,893.94
  4. Step 4: Simplify right side
    217,727.58x = 39,934,211,683.03
  5. Step 5: Solve for x
    x = 39,934,211,683.03/217,727.58
  6. Step 6: Final answer
    x = 183,413.66

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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.