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Finding the Fourth Proportional to 180,922.84, 271,401.54 and 81,079

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Solution

The fourth proportional to 180,922.84, 271,401.54 and 81,079 is: 121,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,922.84 : 271,401.54 = 81,079 : x
  2. Step 2: Convert to fraction form
    180,922.84/271,401.54 = 81,079/x
  3. Step 3: Cross multiply
    180,922.84x = 271,401.54 × 81,079
  4. Step 4: Simplify right side
    180,922.84x = 22,004,965,461.66
  5. Step 5: Solve for x
    x = 22,004,965,461.66/180,922.84
  6. Step 6: Final answer
    x = 121,626.24

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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.