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Finding the Fourth Proportional to 204,178.87, 281,843.06 and 119,323.03

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Solution

The fourth proportional to 204,178.87, 281,843.06 and 119,323.03 is: 164,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,178.87 : 281,843.06 = 119,323.03 : x
  2. Step 2: Convert to fraction form
    204,178.87/281,843.06 = 119,323.03/x
  3. Step 3: Cross multiply
    204,178.87x = 281,843.06 × 119,323.03
  4. Step 4: Simplify right side
    204,178.87x = 33,630,367,903.67
  5. Step 5: Solve for x
    x = 33,630,367,903.67/204,178.87
  6. Step 6: Final answer
    x = 164,710.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.