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Finding the Fourth Proportional to 202,284.40, 303,183.60 and 83,894.80

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Solution

The fourth proportional to 202,284.40, 303,183.60 and 83,894.80 is: 125,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,284.40 : 303,183.60 = 83,894.80 : x
  2. Step 2: Convert to fraction form
    202,284.40/303,183.60 = 83,894.80/x
  3. Step 3: Cross multiply
    202,284.40x = 303,183.60 × 83,894.80
  4. Step 4: Simplify right side
    202,284.40x = 25,435,527,485.28
  5. Step 5: Solve for x
    x = 25,435,527,485.28/202,284.40
  6. Step 6: Final answer
    x = 125,741.42

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1.5x scale

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.