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Finding the Fourth Proportional to 133,900.32, 200,850.72 and 54,959.52

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Solution

The fourth proportional to 133,900.32, 200,850.72 and 54,959.52 is: 82,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,900.32 : 200,850.72 = 54,959.52 : x
  2. Step 2: Convert to fraction form
    133,900.32/200,850.72 = 54,959.52/x
  3. Step 3: Cross multiply
    133,900.32x = 200,850.72 × 54,959.52
  4. Step 4: Simplify right side
    133,900.32x = 11,038,659,162.85
  5. Step 5: Solve for x
    x = 11,038,659,162.85/133,900.32
  6. Step 6: Final answer
    x = 82,439.38

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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.