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Finding the Fourth Proportional to 133,621.34, 200,441.37 and 53,659.31

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Solution

The fourth proportional to 133,621.34, 200,441.37 and 53,659.31 is: 80,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,621.34 : 200,441.37 = 53,659.31 : x
  2. Step 2: Convert to fraction form
    133,621.34/200,441.37 = 53,659.31/x
  3. Step 3: Cross multiply
    133,621.34x = 200,441.37 × 53,659.31
  4. Step 4: Simplify right side
    133,621.34x = 10,755,544,607.45
  5. Step 5: Solve for x
    x = 10,755,544,607.45/133,621.34
  6. Step 6: Final answer
    x = 80,492.71

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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.