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Finding the Fourth Proportional to 204,830.70, 307,246.05 and 133,971.90

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Solution

The fourth proportional to 204,830.70, 307,246.05 and 133,971.90 is: 200,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,830.70 : 307,246.05 = 133,971.90 : x
  2. Step 2: Convert to fraction form
    204,830.70/307,246.05 = 133,971.90/x
  3. Step 3: Cross multiply
    204,830.70x = 307,246.05 × 133,971.90
  4. Step 4: Simplify right side
    204,830.70x = 41,162,337,086.00
  5. Step 5: Solve for x
    x = 41,162,337,086.00/204,830.70
  6. Step 6: Final answer
    x = 200,957.85

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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.