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Finding the Fourth Proportional to 202,444.80, 303,796.80 and 118,204.80

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Solution

The fourth proportional to 202,444.80, 303,796.80 and 118,204.80 is: 177,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,444.80 : 303,796.80 = 118,204.80 : x
  2. Step 2: Convert to fraction form
    202,444.80/303,796.80 = 118,204.80/x
  3. Step 3: Cross multiply
    202,444.80x = 303,796.80 × 118,204.80
  4. Step 4: Simplify right side
    202,444.80x = 35,910,239,984.64
  5. Step 5: Solve for x
    x = 35,910,239,984.64/202,444.80
  6. Step 6: Final answer
    x = 177,382.87

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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.