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Finding the Fourth Proportional to 133,042.70, 199,564.05 and 54,116.30

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Solution

The fourth proportional to 133,042.70, 199,564.05 and 54,116.30 is: 81,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042.70 : 199,564.05 = 54,116.30 : x
  2. Step 2: Convert to fraction form
    133,042.70/199,564.05 = 54,116.30/x
  3. Step 3: Cross multiply
    133,042.70x = 199,564.05 × 54,116.30
  4. Step 4: Simplify right side
    133,042.70x = 10,799,667,999.02
  5. Step 5: Solve for x
    x = 10,799,667,999.02/133,042.70
  6. Step 6: Final answer
    x = 81,174.45

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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.