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Finding the Fourth Proportional to 133,098.76, 199,647.78 and 54,194.44

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Solution

The fourth proportional to 133,098.76, 199,647.78 and 54,194.44 is: 81,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098.76 : 199,647.78 = 54,194.44 : x
  2. Step 2: Convert to fraction form
    133,098.76/199,647.78 = 54,194.44/x
  3. Step 3: Cross multiply
    133,098.76x = 199,647.78 × 54,194.44
  4. Step 4: Simplify right side
    133,098.76x = 10,819,799,634.34
  5. Step 5: Solve for x
    x = 10,819,799,634.34/133,098.76
  6. Step 6: Final answer
    x = 81,291.51

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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.