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Finding the Fourth Proportional to 132,951.14, 199,260.41 and 66,409.85

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Solution

The fourth proportional to 132,951.14, 199,260.41 and 66,409.85 is: 99,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,951.14 : 199,260.41 = 66,409.85 : x
  2. Step 2: Convert to fraction form
    132,951.14/199,260.41 = 66,409.85/x
  3. Step 3: Cross multiply
    132,951.14x = 199,260.41 × 66,409.85
  4. Step 4: Simplify right side
    132,951.14x = 13,232,853,939.04
  5. Step 5: Solve for x
    x = 13,232,853,939.04/132,951.14
  6. Step 6: Final answer
    x = 99,531.71

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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.