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Finding the Fourth Proportional to 178,793.76, 268,186.46 and 90,023.42

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Solution

The fourth proportional to 178,793.76, 268,186.46 and 90,023.42 is: 135,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,793.76 : 268,186.46 = 90,023.42 : x
  2. Step 2: Convert to fraction form
    178,793.76/268,186.46 = 90,023.42/x
  3. Step 3: Cross multiply
    178,793.76x = 268,186.46 × 90,023.42
  4. Step 4: Simplify right side
    178,793.76x = 24,143,062,326.89
  5. Step 5: Solve for x
    x = 24,143,062,326.89/178,793.76
  6. Step 6: Final answer
    x = 135,033.03

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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.