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Finding the Fourth Proportional to 178,483.75, 267,736.56 and 53,824.75

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Solution

The fourth proportional to 178,483.75, 267,736.56 and 53,824.75 is: 80,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,483.75 : 267,736.56 = 53,824.75 : x
  2. Step 2: Convert to fraction form
    178,483.75/267,736.56 = 53,824.75/x
  3. Step 3: Cross multiply
    178,483.75x = 267,736.56 × 53,824.75
  4. Step 4: Simplify right side
    178,483.75x = 14,410,853,407.86
  5. Step 5: Solve for x
    x = 14,410,853,407.86/178,483.75
  6. Step 6: Final answer
    x = 80,740.42

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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.