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Finding the Fourth Proportional to 202,816.61, 304,225.43 and 82,873.56

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Solution

The fourth proportional to 202,816.61, 304,225.43 and 82,873.56 is: 124,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816.61 : 304,225.43 = 82,873.56 : x
  2. Step 2: Convert to fraction form
    202,816.61/304,225.43 = 82,873.56/x
  3. Step 3: Cross multiply
    202,816.61x = 304,225.43 × 82,873.56
  4. Step 4: Simplify right side
    202,816.61x = 25,212,245,424.54
  5. Step 5: Solve for x
    x = 25,212,245,424.54/202,816.61
  6. Step 6: Final answer
    x = 124,310.55

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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.