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Finding the Fourth Proportional to 133,673.54, 200,823.84 and 126,107.75

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Solution

The fourth proportional to 133,673.54, 200,823.84 and 126,107.75 is: 189,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,673.54 : 200,823.84 = 126,107.75 : x
  2. Step 2: Convert to fraction form
    133,673.54/200,823.84 = 126,107.75/x
  3. Step 3: Cross multiply
    133,673.54x = 200,823.84 × 126,107.75
  4. Step 4: Simplify right side
    133,673.54x = 25,325,442,608.76
  5. Step 5: Solve for x
    x = 25,325,442,608.76/133,673.54
  6. Step 6: Final answer
    x = 189,457.41

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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.