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Finding the Fourth Proportional to 201,976.93, 303,017.13 and 75,618.96

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Solution

The fourth proportional to 201,976.93, 303,017.13 and 75,618.96 is: 113,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976.93 : 303,017.13 = 75,618.96 : x
  2. Step 2: Convert to fraction form
    201,976.93/303,017.13 = 75,618.96/x
  3. Step 3: Cross multiply
    201,976.93x = 303,017.13 × 75,618.96
  4. Step 4: Simplify right side
    201,976.93x = 22,913,840,232.78
  5. Step 5: Solve for x
    x = 22,913,840,232.78/201,976.93
  6. Step 6: Final answer
    x = 113,447.81

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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.