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Finding the Fourth Proportional to 178,662, 267,993 and 47,334

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Solution

The fourth proportional to 178,662, 267,993 and 47,334 is: 71,001

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,662 : 267,993 = 47,334 : x
  2. Step 2: Convert to fraction form
    178,662/267,993 = 47,334/x
  3. Step 3: Cross multiply
    178,662x = 267,993 × 47,334
  4. Step 4: Simplify right side
    178,662x = 12,685,180,662
  5. Step 5: Solve for x
    x = 12,685,180,662/178,662
  6. Step 6: Final answer
    x = 71,001

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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.