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Finding the Fourth Proportional to 178,364.44, 267,311.94 and 99,515.80

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Solution

The fourth proportional to 178,364.44, 267,311.94 and 99,515.80 is: 149,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,364.44 : 267,311.94 = 99,515.80 : x
  2. Step 2: Convert to fraction form
    178,364.44/267,311.94 = 99,515.80/x
  3. Step 3: Cross multiply
    178,364.44x = 267,311.94 × 99,515.80
  4. Step 4: Simplify right side
    178,364.44x = 26,601,761,558.65
  5. Step 5: Solve for x
    x = 26,601,761,558.65/178,364.44
  6. Step 6: Final answer
    x = 149,142.74

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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.