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Finding the Fourth Proportional to 133,841.82, 200,729.13 and 54,977.82

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Solution

The fourth proportional to 133,841.82, 200,729.13 and 54,977.82 is: 82,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,841.82 : 200,729.13 = 54,977.82 : x
  2. Step 2: Convert to fraction form
    133,841.82/200,729.13 = 54,977.82/x
  3. Step 3: Cross multiply
    133,841.82x = 200,729.13 × 54,977.82
  4. Step 4: Simplify right side
    133,841.82x = 11,035,649,977.90
  5. Step 5: Solve for x
    x = 11,035,649,977.90/133,841.82
  6. Step 6: Final answer
    x = 82,452.93

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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.