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Finding the Fourth Proportional to 178,747.44, 268,129.80 and 54,089.52

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Solution

The fourth proportional to 178,747.44, 268,129.80 and 54,089.52 is: 81,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,747.44 : 268,129.80 = 54,089.52 : x
  2. Step 2: Convert to fraction form
    178,747.44/268,129.80 = 54,089.52/x
  3. Step 3: Cross multiply
    178,747.44x = 268,129.80 × 54,089.52
  4. Step 4: Simplify right side
    178,747.44x = 14,503,012,179.70
  5. Step 5: Solve for x
    x = 14,503,012,179.70/178,747.44
  6. Step 6: Final answer
    x = 81,136.89

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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.