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Finding the Fourth Proportional to 102,997.30, 154,611.15 and 96,229.30

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Solution

The fourth proportional to 102,997.30, 154,611.15 and 96,229.30 is: 144,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,997.30 : 154,611.15 = 96,229.30 : x
  2. Step 2: Convert to fraction form
    102,997.30/154,611.15 = 96,229.30/x
  3. Step 3: Cross multiply
    102,997.30x = 154,611.15 × 96,229.30
  4. Step 4: Simplify right side
    102,997.30x = 14,878,122,736.70
  5. Step 5: Solve for x
    x = 14,878,122,736.70/102,997.30
  6. Step 6: Final answer
    x = 144,451.58

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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.