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Finding the Fourth Proportional to 149,861.30, 224,865.24 and 65,609.96

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Solution

The fourth proportional to 149,861.30, 224,865.24 and 65,609.96 is: 98,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,861.30 : 224,865.24 = 65,609.96 : x
  2. Step 2: Convert to fraction form
    149,861.30/224,865.24 = 65,609.96/x
  3. Step 3: Cross multiply
    149,861.30x = 224,865.24 × 65,609.96
  4. Step 4: Simplify right side
    149,861.30x = 14,753,399,401.79
  5. Step 5: Solve for x
    x = 14,753,399,401.79/149,861.30
  6. Step 6: Final answer
    x = 98,447.03

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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.