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Finding the Fourth Proportional to 133,043.30, 199,296.15 and 82,969.70

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Solution

The fourth proportional to 133,043.30, 199,296.15 and 82,969.70 is: 124,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043.30 : 199,296.15 = 82,969.70 : x
  2. Step 2: Convert to fraction form
    133,043.30/199,296.15 = 82,969.70/x
  3. Step 3: Cross multiply
    133,043.30x = 199,296.15 × 82,969.70
  4. Step 4: Simplify right side
    133,043.30x = 16,535,541,776.66
  5. Step 5: Solve for x
    x = 16,535,541,776.66/133,043.30
  6. Step 6: Final answer
    x = 124,286.92

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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.