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Finding the Fourth Proportional to 178,936.50, 268,406.37 and 54,277.50

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Solution

The fourth proportional to 178,936.50, 268,406.37 and 54,277.50 is: 81,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,936.50 : 268,406.37 = 54,277.50 : x
  2. Step 2: Convert to fraction form
    178,936.50/268,406.37 = 54,277.50/x
  3. Step 3: Cross multiply
    178,936.50x = 268,406.37 × 54,277.50
  4. Step 4: Simplify right side
    178,936.50x = 14,568,426,747.68
  5. Step 5: Solve for x
    x = 14,568,426,747.68/178,936.50
  6. Step 6: Final answer
    x = 81,416.74

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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.