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Finding the Fourth Proportional to 166,855.86, 250,108.74 and 78,034.50

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Solution

The fourth proportional to 166,855.86, 250,108.74 and 78,034.50 is: 116,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,855.86 : 250,108.74 = 78,034.50 : x
  2. Step 2: Convert to fraction form
    166,855.86/250,108.74 = 78,034.50/x
  3. Step 3: Cross multiply
    166,855.86x = 250,108.74 × 78,034.50
  4. Step 4: Simplify right side
    166,855.86x = 19,517,110,471.53
  5. Step 5: Solve for x
    x = 19,517,110,471.53/166,855.86
  6. Step 6: Final answer
    x = 116,969.88

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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.