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Finding the Fourth Proportional to 202,137.10, 303,205.65 and 192,295.60

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Solution

The fourth proportional to 202,137.10, 303,205.65 and 192,295.60 is: 288,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,137.10 : 303,205.65 = 192,295.60 : x
  2. Step 2: Convert to fraction form
    202,137.10/303,205.65 = 192,295.60/x
  3. Step 3: Cross multiply
    202,137.10x = 303,205.65 × 192,295.60
  4. Step 4: Simplify right side
    202,137.10x = 58,305,112,390.14
  5. Step 5: Solve for x
    x = 58,305,112,390.14/202,137.10
  6. Step 6: Final answer
    x = 288,443.40

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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.