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Finding the Fourth Proportional to 133,804.56, 200,712.84 and 54,863.28

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Solution

The fourth proportional to 133,804.56, 200,712.84 and 54,863.28 is: 82,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,804.56 : 200,712.84 = 54,863.28 : x
  2. Step 2: Convert to fraction form
    133,804.56/200,712.84 = 54,863.28/x
  3. Step 3: Cross multiply
    133,804.56x = 200,712.84 × 54,863.28
  4. Step 4: Simplify right side
    133,804.56x = 11,011,764,740.52
  5. Step 5: Solve for x
    x = 11,011,764,740.52/133,804.56
  6. Step 6: Final answer
    x = 82,297.38

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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.