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Finding the Fourth Proportional to 133,895.70, 200,843.35 and 54,954.32

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Solution

The fourth proportional to 133,895.70, 200,843.35 and 54,954.32 is: 82,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,895.70 : 200,843.35 = 54,954.32 : x
  2. Step 2: Convert to fraction form
    133,895.70/200,843.35 = 54,954.32/x
  3. Step 3: Cross multiply
    133,895.70x = 200,843.35 × 54,954.32
  4. Step 4: Simplify right side
    133,895.70x = 11,037,208,584.17
  5. Step 5: Solve for x
    x = 11,037,208,584.17/133,895.70
  6. Step 6: Final answer
    x = 82,431.39

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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.