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Finding the Fourth Proportional to 201,976.20, 302,978.70 and 61,734.60

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Solution

The fourth proportional to 201,976.20, 302,978.70 and 61,734.60 is: 92,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976.20 : 302,978.70 = 61,734.60 : x
  2. Step 2: Convert to fraction form
    201,976.20/302,978.70 = 61,734.60/x
  3. Step 3: Cross multiply
    201,976.20x = 302,978.70 × 61,734.60
  4. Step 4: Simplify right side
    201,976.20x = 18,704,268,853.02
  5. Step 5: Solve for x
    x = 18,704,268,853.02/201,976.20
  6. Step 6: Final answer
    x = 92,606.30

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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.