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Finding the Fourth Proportional to 132,702.49, 199,052.52 and 53,797.96

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Solution

The fourth proportional to 132,702.49, 199,052.52 and 53,797.96 is: 80,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,702.49 : 199,052.52 = 53,797.96 : x
  2. Step 2: Convert to fraction form
    132,702.49/199,052.52 = 53,797.96/x
  3. Step 3: Cross multiply
    132,702.49x = 199,052.52 × 53,797.96
  4. Step 4: Simplify right side
    132,702.49x = 10,708,619,508.86
  5. Step 5: Solve for x
    x = 10,708,619,508.86/132,702.49
  6. Step 6: Final answer
    x = 80,696.45

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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.