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Finding the Fourth Proportional to 178,615.92, 267,930.36 and 53,958

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Solution

The fourth proportional to 178,615.92, 267,930.36 and 53,958 is: 80,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,615.92 : 267,930.36 = 53,958 : x
  2. Step 2: Convert to fraction form
    178,615.92/267,930.36 = 53,958/x
  3. Step 3: Cross multiply
    178,615.92x = 267,930.36 × 53,958
  4. Step 4: Simplify right side
    178,615.92x = 14,456,986,364.88
  5. Step 5: Solve for x
    x = 14,456,986,364.88/178,615.92
  6. Step 6: Final answer
    x = 80,938.96

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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.