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Finding the Fourth Proportional to 202,405.20, 303,607.80 and 97,198.80

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Solution

The fourth proportional to 202,405.20, 303,607.80 and 97,198.80 is: 145,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,405.20 : 303,607.80 = 97,198.80 : x
  2. Step 2: Convert to fraction form
    202,405.20/303,607.80 = 97,198.80/x
  3. Step 3: Cross multiply
    202,405.20x = 303,607.80 × 97,198.80
  4. Step 4: Simplify right side
    202,405.20x = 29,510,313,830.64
  5. Step 5: Solve for x
    x = 29,510,313,830.64/202,405.20
  6. Step 6: Final answer
    x = 145,798.20

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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.