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Finding the Fourth Proportional to 204,159.37, 306,238.37 and 52,356.29

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Solution

The fourth proportional to 204,159.37, 306,238.37 and 52,356.29 is: 78,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,159.37 : 306,238.37 = 52,356.29 : x
  2. Step 2: Convert to fraction form
    204,159.37/306,238.37 = 52,356.29/x
  3. Step 3: Cross multiply
    204,159.37x = 306,238.37 × 52,356.29
  4. Step 4: Simplify right side
    204,159.37x = 16,033,504,908.85
  5. Step 5: Solve for x
    x = 16,033,504,908.85/204,159.37
  6. Step 6: Final answer
    x = 78,534.26

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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.