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Finding the Fourth Proportional to 133,266.33, 183,902.54 and 72,836.48

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Solution

The fourth proportional to 133,266.33, 183,902.54 and 72,836.48 is: 100,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,266.33 : 183,902.54 = 72,836.48 : x
  2. Step 2: Convert to fraction form
    133,266.33/183,902.54 = 72,836.48/x
  3. Step 3: Cross multiply
    133,266.33x = 183,902.54 × 72,836.48
  4. Step 4: Simplify right side
    133,266.33x = 13,394,812,392.96
  5. Step 5: Solve for x
    x = 13,394,812,392.96/133,266.33
  6. Step 6: Final answer
    x = 100,511.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.