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Finding the Fourth Proportional to 199,071.60, 298,722.60 and 74,425.20

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Solution

The fourth proportional to 199,071.60, 298,722.60 and 74,425.20 is: 111,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,071.60 : 298,722.60 = 74,425.20 : x
  2. Step 2: Convert to fraction form
    199,071.60/298,722.60 = 74,425.20/x
  3. Step 3: Cross multiply
    199,071.60x = 298,722.60 × 74,425.20
  4. Step 4: Simplify right side
    199,071.60x = 22,232,489,249.52
  5. Step 5: Solve for x
    x = 22,232,489,249.52/199,071.60
  6. Step 6: Final answer
    x = 111,680.87

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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.