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Finding the Fourth Proportional to 264,940, 365,618.96 and 144,082.64

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Solution

The fourth proportional to 264,940, 365,618.96 and 144,082.64 is: 198,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,940 : 365,618.96 = 144,082.64 : x
  2. Step 2: Convert to fraction form
    264,940/365,618.96 = 144,082.64/x
  3. Step 3: Cross multiply
    264,940x = 365,618.96 × 144,082.64
  4. Step 4: Simplify right side
    264,940x = 52,679,344,990.85
  5. Step 5: Solve for x
    x = 52,679,344,990.85/264,940
  6. Step 6: Final answer
    x = 198,835.00

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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.