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Finding the Fourth Proportional to 204,967.66, 305,413.81 and 182,609.22

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Solution

The fourth proportional to 204,967.66, 305,413.81 and 182,609.22 is: 272,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,967.66 : 305,413.81 = 182,609.22 : x
  2. Step 2: Convert to fraction form
    204,967.66/305,413.81 = 182,609.22/x
  3. Step 3: Cross multiply
    204,967.66x = 305,413.81 × 182,609.22
  4. Step 4: Simplify right side
    204,967.66x = 55,771,377,621.33
  5. Step 5: Solve for x
    x = 55,771,377,621.33/204,967.66
  6. Step 6: Final answer
    x = 272,098.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.