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Finding the Fourth Proportional to 204,049.57, 306,075.06 and 61,896.07

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Solution

The fourth proportional to 204,049.57, 306,075.06 and 61,896.07 is: 92,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,049.57 : 306,075.06 = 61,896.07 : x
  2. Step 2: Convert to fraction form
    204,049.57/306,075.06 = 61,896.07/x
  3. Step 3: Cross multiply
    204,049.57x = 306,075.06 × 61,896.07
  4. Step 4: Simplify right side
    204,049.57x = 18,944,842,573.83
  5. Step 5: Solve for x
    x = 18,944,842,573.83/204,049.57
  6. Step 6: Final answer
    x = 92,844.32

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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.