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Finding the Fourth Proportional to 132,590.50, 182,974.92 and 72,974.50

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Solution

The fourth proportional to 132,590.50, 182,974.92 and 72,974.50 is: 100,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,590.50 : 182,974.92 = 72,974.50 : x
  2. Step 2: Convert to fraction form
    132,590.50/182,974.92 = 72,974.50/x
  3. Step 3: Cross multiply
    132,590.50x = 182,974.92 × 72,974.50
  4. Step 4: Simplify right side
    132,590.50x = 13,352,503,299.54
  5. Step 5: Solve for x
    x = 13,352,503,299.54/132,590.50
  6. Step 6: Final answer
    x = 100,704.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.