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Finding the Fourth Proportional to 133,723.80, 200,682.90 and 54,894.60

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Solution

The fourth proportional to 133,723.80, 200,682.90 and 54,894.60 is: 82,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,723.80 : 200,682.90 = 54,894.60 : x
  2. Step 2: Convert to fraction form
    133,723.80/200,682.90 = 54,894.60/x
  3. Step 3: Cross multiply
    133,723.80x = 200,682.90 × 54,894.60
  4. Step 4: Simplify right side
    133,723.80x = 11,016,407,522.34
  5. Step 5: Solve for x
    x = 11,016,407,522.34/133,723.80
  6. Step 6: Final answer
    x = 82,381.80

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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.