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Finding the Fourth Proportional to 133,922.33, 200,883.29 and 54,980.94

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Solution

The fourth proportional to 133,922.33, 200,883.29 and 54,980.94 is: 82,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,922.33 : 200,883.29 = 54,980.94 : x
  2. Step 2: Convert to fraction form
    133,922.33/200,883.29 = 54,980.94/x
  3. Step 3: Cross multiply
    133,922.33x = 200,883.29 × 54,980.94
  4. Step 4: Simplify right side
    133,922.33x = 11,044,751,839.59
  5. Step 5: Solve for x
    x = 11,044,751,839.59/133,922.33
  6. Step 6: Final answer
    x = 82,471.33

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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.