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Finding the Fourth Proportional to 202,527.28, 303,789.78 and 82,583.78

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Solution

The fourth proportional to 202,527.28, 303,789.78 and 82,583.78 is: 123,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,527.28 : 303,789.78 = 82,583.78 : x
  2. Step 2: Convert to fraction form
    202,527.28/303,789.78 = 82,583.78/x
  3. Step 3: Cross multiply
    202,527.28x = 303,789.78 × 82,583.78
  4. Step 4: Simplify right side
    202,527.28x = 25,088,108,357.77
  5. Step 5: Solve for x
    x = 25,088,108,357.77/202,527.28
  6. Step 6: Final answer
    x = 123,875.21

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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.