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Finding the Fourth Proportional to 178,493.88, 267,742.74 and 53,835.96

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Solution

The fourth proportional to 178,493.88, 267,742.74 and 53,835.96 is: 80,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,493.88 : 267,742.74 = 53,835.96 : x
  2. Step 2: Convert to fraction form
    178,493.88/267,742.74 = 53,835.96/x
  3. Step 3: Cross multiply
    178,493.88x = 267,742.74 × 53,835.96
  4. Step 4: Simplify right side
    178,493.88x = 14,414,187,440.93
  5. Step 5: Solve for x
    x = 14,414,187,440.93/178,493.88
  6. Step 6: Final answer
    x = 80,754.52

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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.