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Finding the Fourth Proportional to 133,044.50, 199,654.23 and 49,938.50

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Solution

The fourth proportional to 133,044.50, 199,654.23 and 49,938.50 is: 74,940.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044.50 : 199,654.23 = 49,938.50 : x
  2. Step 2: Convert to fraction form
    133,044.50/199,654.23 = 49,938.50/x
  3. Step 3: Cross multiply
    133,044.50x = 199,654.23 × 49,938.50
  4. Step 4: Simplify right side
    133,044.50x = 9,970,432,764.86
  5. Step 5: Solve for x
    x = 9,970,432,764.86/133,044.50
  6. Step 6: Final answer
    x = 74,940.59

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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.