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Finding the Fourth Proportional to 133,911.33, 200,878.80 and 49,672.44

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Solution

The fourth proportional to 133,911.33, 200,878.80 and 49,672.44 is: 74,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911.33 : 200,878.80 = 49,672.44 : x
  2. Step 2: Convert to fraction form
    133,911.33/200,878.80 = 49,672.44/x
  3. Step 3: Cross multiply
    133,911.33x = 200,878.80 × 49,672.44
  4. Step 4: Simplify right side
    133,911.33x = 9,978,140,140.27
  5. Step 5: Solve for x
    x = 9,978,140,140.27/133,911.33
  6. Step 6: Final answer
    x = 74,513.04

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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.