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Finding the Fourth Proportional to 194,891.56, 268,951.14 and 105,467.56

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Solution

The fourth proportional to 194,891.56, 268,951.14 and 105,467.56 is: 145,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,891.56 : 268,951.14 = 105,467.56 : x
  2. Step 2: Convert to fraction form
    194,891.56/268,951.14 = 105,467.56/x
  3. Step 3: Cross multiply
    194,891.56x = 268,951.14 × 105,467.56
  4. Step 4: Simplify right side
    194,891.56x = 28,365,620,495.02
  5. Step 5: Solve for x
    x = 28,365,620,495.02/194,891.56
  6. Step 6: Final answer
    x = 145,545.66

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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.