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Finding the Fourth Proportional to 204,188.64, 281,739.02 and 119,289.30

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Solution

The fourth proportional to 204,188.64, 281,739.02 and 119,289.30 is: 164,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,188.64 : 281,739.02 = 119,289.30 : x
  2. Step 2: Convert to fraction form
    204,188.64/281,739.02 = 119,289.30/x
  3. Step 3: Cross multiply
    204,188.64x = 281,739.02 × 119,289.30
  4. Step 4: Simplify right side
    204,188.64x = 33,608,450,478.49
  5. Step 5: Solve for x
    x = 33,608,450,478.49/204,188.64
  6. Step 6: Final answer
    x = 164,595.10

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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.