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Finding the Fourth Proportional to 209,944.80, 314,917.20 and 85,375.20

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Solution

The fourth proportional to 209,944.80, 314,917.20 and 85,375.20 is: 128,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,944.80 : 314,917.20 = 85,375.20 : x
  2. Step 2: Convert to fraction form
    209,944.80/314,917.20 = 85,375.20/x
  3. Step 3: Cross multiply
    209,944.80x = 314,917.20 × 85,375.20
  4. Step 4: Simplify right side
    209,944.80x = 26,886,118,933.44
  5. Step 5: Solve for x
    x = 26,886,118,933.44/209,944.80
  6. Step 6: Final answer
    x = 128,062.80

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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.