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Finding the Fourth Proportional to 133,447.74, 200,171.73 and 54,561.96

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Solution

The fourth proportional to 133,447.74, 200,171.73 and 54,561.96 is: 81,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,447.74 : 200,171.73 = 54,561.96 : x
  2. Step 2: Convert to fraction form
    133,447.74/200,171.73 = 54,561.96/x
  3. Step 3: Cross multiply
    133,447.74x = 200,171.73 × 54,561.96
  4. Step 4: Simplify right side
    133,447.74x = 10,921,762,539.53
  5. Step 5: Solve for x
    x = 10,921,762,539.53/133,447.74
  6. Step 6: Final answer
    x = 81,843.00

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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.