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Finding the Fourth Proportional to 202,794.80, 304,028.12 and 123,882.36

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Solution

The fourth proportional to 202,794.80, 304,028.12 and 123,882.36 is: 185,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,794.80 : 304,028.12 = 123,882.36 : x
  2. Step 2: Convert to fraction form
    202,794.80/304,028.12 = 123,882.36/x
  3. Step 3: Cross multiply
    202,794.80x = 304,028.12 × 123,882.36
  4. Step 4: Simplify right side
    202,794.80x = 37,663,720,392.55
  5. Step 5: Solve for x
    x = 37,663,720,392.55/202,794.80
  6. Step 6: Final answer
    x = 185,723.31

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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.