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Finding the Fourth Proportional to 180,787.80, 271,311.30 and 101,818.20

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Solution

The fourth proportional to 180,787.80, 271,311.30 and 101,818.20 is: 152,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,787.80 : 271,311.30 = 101,818.20 : x
  2. Step 2: Convert to fraction form
    180,787.80/271,311.30 = 101,818.20/x
  3. Step 3: Cross multiply
    180,787.80x = 271,311.30 × 101,818.20
  4. Step 4: Simplify right side
    180,787.80x = 27,624,428,205.66
  5. Step 5: Solve for x
    x = 27,624,428,205.66/180,787.80
  6. Step 6: Final answer
    x = 152,800.29

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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.