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Finding the Fourth Proportional to 200,905.44, 301,456.50 and 80,957.40

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Solution

The fourth proportional to 200,905.44, 301,456.50 and 80,957.40 is: 121,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,905.44 : 301,456.50 = 80,957.40 : x
  2. Step 2: Convert to fraction form
    200,905.44/301,456.50 = 80,957.40/x
  3. Step 3: Cross multiply
    200,905.44x = 301,456.50 × 80,957.40
  4. Step 4: Simplify right side
    200,905.44x = 24,405,134,453.10
  5. Step 5: Solve for x
    x = 24,405,134,453.10/200,905.44
  6. Step 6: Final answer
    x = 121,475.73

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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.