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Finding the Fourth Proportional to 172,286.58, 257,876.94 and 92,124.33

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Solution

The fourth proportional to 172,286.58, 257,876.94 and 92,124.33 is: 137,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,286.58 : 257,876.94 = 92,124.33 : x
  2. Step 2: Convert to fraction form
    172,286.58/257,876.94 = 92,124.33/x
  3. Step 3: Cross multiply
    172,286.58x = 257,876.94 × 92,124.33
  4. Step 4: Simplify right side
    172,286.58x = 23,756,740,319.95
  5. Step 5: Solve for x
    x = 23,756,740,319.95/172,286.58
  6. Step 6: Final answer
    x = 137,890.83

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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.