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Finding the Fourth Proportional to 202,206.80, 303,200.85 and 83,890.10

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Solution

The fourth proportional to 202,206.80, 303,200.85 and 83,890.10 is: 125,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,206.80 : 303,200.85 = 83,890.10 : x
  2. Step 2: Convert to fraction form
    202,206.80/303,200.85 = 83,890.10/x
  3. Step 3: Cross multiply
    202,206.80x = 303,200.85 × 83,890.10
  4. Step 4: Simplify right side
    202,206.80x = 25,435,549,626.59
  5. Step 5: Solve for x
    x = 25,435,549,626.59/202,206.80
  6. Step 6: Final answer
    x = 125,789.78

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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.