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Finding the Fourth Proportional to 178,936.56, 268,338.42 and 52,542

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Solution

The fourth proportional to 178,936.56, 268,338.42 and 52,542 is: 78,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,936.56 : 268,338.42 = 52,542 : x
  2. Step 2: Convert to fraction form
    178,936.56/268,338.42 = 52,542/x
  3. Step 3: Cross multiply
    178,936.56x = 268,338.42 × 52,542
  4. Step 4: Simplify right side
    178,936.56x = 14,099,037,263.64
  5. Step 5: Solve for x
    x = 14,099,037,263.64/178,936.56
  6. Step 6: Final answer
    x = 78,793.50

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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.