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Finding the Fourth Proportional to 178,394.34, 267,630.84 and 52,044.44

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Solution

The fourth proportional to 178,394.34, 267,630.84 and 52,044.44 is: 78,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,394.34 : 267,630.84 = 52,044.44 : x
  2. Step 2: Convert to fraction form
    178,394.34/267,630.84 = 52,044.44/x
  3. Step 3: Cross multiply
    178,394.34x = 267,630.84 × 52,044.44
  4. Step 4: Simplify right side
    178,394.34x = 13,928,697,194.53
  5. Step 5: Solve for x
    x = 13,928,697,194.53/178,394.34
  6. Step 6: Final answer
    x = 78,078.13

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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.