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Finding the Fourth Proportional to 178,822.69, 268,234.64 and 54,163.69

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Solution

The fourth proportional to 178,822.69, 268,234.64 and 54,163.69 is: 81,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,822.69 : 268,234.64 = 54,163.69 : x
  2. Step 2: Convert to fraction form
    178,822.69/268,234.64 = 54,163.69/x
  3. Step 3: Cross multiply
    178,822.69x = 268,234.64 × 54,163.69
  4. Step 4: Simplify right side
    178,822.69x = 14,528,577,149.93
  5. Step 5: Solve for x
    x = 14,528,577,149.93/178,822.69
  6. Step 6: Final answer
    x = 81,245.72

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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.