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Finding the Fourth Proportional to 179,766, 269,649 and 48,438

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Solution

The fourth proportional to 179,766, 269,649 and 48,438 is: 72,657

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,766 : 269,649 = 48,438 : x
  2. Step 2: Convert to fraction form
    179,766/269,649 = 48,438/x
  3. Step 3: Cross multiply
    179,766x = 269,649 × 48,438
  4. Step 4: Simplify right side
    179,766x = 13,061,258,262
  5. Step 5: Solve for x
    x = 13,061,258,262/179,766
  6. Step 6: Final answer
    x = 72,657

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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.