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Finding the Fourth Proportional to 106,871.20, 160,088.10 and 54,310.30

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Solution

The fourth proportional to 106,871.20, 160,088.10 and 54,310.30 is: 81,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871.20 : 160,088.10 = 54,310.30 : x
  2. Step 2: Convert to fraction form
    106,871.20/160,088.10 = 54,310.30/x
  3. Step 3: Cross multiply
    106,871.20x = 160,088.10 × 54,310.30
  4. Step 4: Simplify right side
    106,871.20x = 8,694,432,737.43
  5. Step 5: Solve for x
    x = 8,694,432,737.43/106,871.20
  6. Step 6: Final answer
    x = 81,354.31

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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.