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Finding the Fourth Proportional to 204,203, 281,758.80 and 119,303.64

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Solution

The fourth proportional to 204,203, 281,758.80 and 119,303.64 is: 164,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,203 : 281,758.80 = 119,303.64 : x
  2. Step 2: Convert to fraction form
    204,203/281,758.80 = 119,303.64/x
  3. Step 3: Cross multiply
    204,203x = 281,758.80 × 119,303.64
  4. Step 4: Simplify right side
    204,203x = 33,614,850,442.03
  5. Step 5: Solve for x
    x = 33,614,850,442.03/204,203
  6. Step 6: Final answer
    x = 164,614.87

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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.