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Finding the Fourth Proportional to 171,926.70, 257,890.05 and 105,441.90

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Solution

The fourth proportional to 171,926.70, 257,890.05 and 105,441.90 is: 158,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,926.70 : 257,890.05 = 105,441.90 : x
  2. Step 2: Convert to fraction form
    171,926.70/257,890.05 = 105,441.90/x
  3. Step 3: Cross multiply
    171,926.70x = 257,890.05 × 105,441.90
  4. Step 4: Simplify right side
    171,926.70x = 27,192,416,863.10
  5. Step 5: Solve for x
    x = 27,192,416,863.10/171,926.70
  6. Step 6: Final answer
    x = 158,162.85

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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.