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Finding the Fourth Proportional to 361,311.34, 541,795.99 and 133,532.25

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Solution

The fourth proportional to 361,311.34, 541,795.99 and 133,532.25 is: 200,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,311.34 : 541,795.99 = 133,532.25 : x
  2. Step 2: Convert to fraction form
    361,311.34/541,795.99 = 133,532.25/x
  3. Step 3: Cross multiply
    361,311.34x = 541,795.99 × 133,532.25
  4. Step 4: Simplify right side
    361,311.34x = 72,347,237,585.68
  5. Step 5: Solve for x
    x = 72,347,237,585.68/361,311.34
  6. Step 6: Final answer
    x = 200,235.17

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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.