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Finding the Fourth Proportional to 102,951.96, 154,459.30 and 50,353.80

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Solution

The fourth proportional to 102,951.96, 154,459.30 and 50,353.80 is: 75,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,951.96 : 154,459.30 = 50,353.80 : x
  2. Step 2: Convert to fraction form
    102,951.96/154,459.30 = 50,353.80/x
  3. Step 3: Cross multiply
    102,951.96x = 154,459.30 × 50,353.80
  4. Step 4: Simplify right side
    102,951.96x = 7,777,612,700.34
  5. Step 5: Solve for x
    x = 7,777,612,700.34/102,951.96
  6. Step 6: Final answer
    x = 75,546.04

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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.