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Finding the Fourth Proportional to 133,684.72, 200,571.75 and 43,731.52

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Solution

The fourth proportional to 133,684.72, 200,571.75 and 43,731.52 is: 65,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,684.72 : 200,571.75 = 43,731.52 : x
  2. Step 2: Convert to fraction form
    133,684.72/200,571.75 = 43,731.52/x
  3. Step 3: Cross multiply
    133,684.72x = 200,571.75 × 43,731.52
  4. Step 4: Simplify right side
    133,684.72x = 8,771,306,995.13
  5. Step 5: Solve for x
    x = 8,771,306,995.13/133,684.72
  6. Step 6: Final answer
    x = 65,611.89

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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.