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Finding the Fourth Proportional to 203,322.82, 304,866.24 and 76,972.82

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Solution

The fourth proportional to 203,322.82, 304,866.24 and 76,972.82 is: 115,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,322.82 : 304,866.24 = 76,972.82 : x
  2. Step 2: Convert to fraction form
    203,322.82/304,866.24 = 76,972.82/x
  3. Step 3: Cross multiply
    203,322.82x = 304,866.24 × 76,972.82
  4. Step 4: Simplify right side
    203,322.82x = 23,466,414,215.60
  5. Step 5: Solve for x
    x = 23,466,414,215.60/203,322.82
  6. Step 6: Final answer
    x = 115,414.56

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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.