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Finding the Fourth Proportional to 102,808.44, 154,235.88 and 36,253.44

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Solution

The fourth proportional to 102,808.44, 154,235.88 and 36,253.44 is: 54,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,808.44 : 154,235.88 = 36,253.44 : x
  2. Step 2: Convert to fraction form
    102,808.44/154,235.88 = 36,253.44/x
  3. Step 3: Cross multiply
    102,808.44x = 154,235.88 × 36,253.44
  4. Step 4: Simplify right side
    102,808.44x = 5,591,581,221.43
  5. Step 5: Solve for x
    x = 5,591,581,221.43/102,808.44
  6. Step 6: Final answer
    x = 54,388.35

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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.