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Finding the Fourth Proportional to 204,846.60, 307,500.30 and 158,305.80

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Solution

The fourth proportional to 204,846.60, 307,500.30 and 158,305.80 is: 237,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,846.60 : 307,500.30 = 158,305.80 : x
  2. Step 2: Convert to fraction form
    204,846.60/307,500.30 = 158,305.80/x
  3. Step 3: Cross multiply
    204,846.60x = 307,500.30 × 158,305.80
  4. Step 4: Simplify right side
    204,846.60x = 48,679,080,991.74
  5. Step 5: Solve for x
    x = 48,679,080,991.74/204,846.60
  6. Step 6: Final answer
    x = 237,636.75

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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.