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Finding the Fourth Proportional to 178,396.34, 267,633.84 and 52,046.44

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Solution

The fourth proportional to 178,396.34, 267,633.84 and 52,046.44 is: 78,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,396.34 : 267,633.84 = 52,046.44 : x
  2. Step 2: Convert to fraction form
    178,396.34/267,633.84 = 52,046.44/x
  3. Step 3: Cross multiply
    178,396.34x = 267,633.84 × 52,046.44
  4. Step 4: Simplify right side
    178,396.34x = 13,929,388,595.53
  5. Step 5: Solve for x
    x = 13,929,388,595.53/178,396.34
  6. Step 6: Final answer
    x = 78,081.13

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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.