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Finding the Fourth Proportional to 178,393.26, 267,631.74 and 52,035.96

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Solution

The fourth proportional to 178,393.26, 267,631.74 and 52,035.96 is: 78,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,393.26 : 267,631.74 = 52,035.96 : x
  2. Step 2: Convert to fraction form
    178,393.26/267,631.74 = 52,035.96/x
  3. Step 3: Cross multiply
    178,393.26x = 267,631.74 × 52,035.96
  4. Step 4: Simplify right side
    178,393.26x = 13,926,474,517.37
  5. Step 5: Solve for x
    x = 13,926,474,517.37/178,393.26
  6. Step 6: Final answer
    x = 78,066.15

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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.