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Finding the Fourth Proportional to 202,632.70, 303,548.10 and 177,700.90

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Solution

The fourth proportional to 202,632.70, 303,548.10 and 177,700.90 is: 266,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,632.70 : 303,548.10 = 177,700.90 : x
  2. Step 2: Convert to fraction form
    202,632.70/303,548.10 = 177,700.90/x
  3. Step 3: Cross multiply
    202,632.70x = 303,548.10 × 177,700.90
  4. Step 4: Simplify right side
    202,632.70x = 53,940,770,563.29
  5. Step 5: Solve for x
    x = 53,940,770,563.29/202,632.70
  6. Step 6: Final answer
    x = 266,199.73

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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.