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Finding the Fourth Proportional to 264,861.98, 365,516.70 and 144,011.38

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Solution

The fourth proportional to 264,861.98, 365,516.70 and 144,011.38 is: 198,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,861.98 : 365,516.70 = 144,011.38 : x
  2. Step 2: Convert to fraction form
    264,861.98/365,516.70 = 144,011.38/x
  3. Step 3: Cross multiply
    264,861.98x = 365,516.70 × 144,011.38
  4. Step 4: Simplify right side
    264,861.98x = 52,638,564,380.05
  5. Step 5: Solve for x
    x = 52,638,564,380.05/264,861.98
  6. Step 6: Final answer
    x = 198,739.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.