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Finding the Fourth Proportional to 202,075.80, 303,696.90 and 198,576.60

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Solution

The fourth proportional to 202,075.80, 303,696.90 and 198,576.60 is: 298,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,075.80 : 303,696.90 = 198,576.60 : x
  2. Step 2: Convert to fraction form
    202,075.80/303,696.90 = 198,576.60/x
  3. Step 3: Cross multiply
    202,075.80x = 303,696.90 × 198,576.60
  4. Step 4: Simplify right side
    202,075.80x = 60,307,097,832.54
  5. Step 5: Solve for x
    x = 60,307,097,832.54/202,075.80
  6. Step 6: Final answer
    x = 298,438.00

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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.