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Finding the Fourth Proportional to 133,955.28, 200,932.80 and 55,014

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Solution

The fourth proportional to 133,955.28, 200,932.80 and 55,014 is: 82,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,955.28 : 200,932.80 = 55,014 : x
  2. Step 2: Convert to fraction form
    133,955.28/200,932.80 = 55,014/x
  3. Step 3: Cross multiply
    133,955.28x = 200,932.80 × 55,014
  4. Step 4: Simplify right side
    133,955.28x = 11,054,117,059.20
  5. Step 5: Solve for x
    x = 11,054,117,059.20/133,955.28
  6. Step 6: Final answer
    x = 82,520.95

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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.