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Finding the Fourth Proportional to 102,694.10, 154,064.10 and 36,136.40

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Solution

The fourth proportional to 102,694.10, 154,064.10 and 36,136.40 is: 54,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,694.10 : 154,064.10 = 36,136.40 : x
  2. Step 2: Convert to fraction form
    102,694.10/154,064.10 = 36,136.40/x
  3. Step 3: Cross multiply
    102,694.10x = 154,064.10 × 36,136.40
  4. Step 4: Simplify right side
    102,694.10x = 5,567,321,943.24
  5. Step 5: Solve for x
    x = 5,567,321,943.24/102,694.10
  6. Step 6: Final answer
    x = 54,212.68

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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.