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Finding the Fourth Proportional to 264,996.90, 365,701.74 and 144,144.65

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Solution

The fourth proportional to 264,996.90, 365,701.74 and 144,144.65 is: 198,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,996.90 : 365,701.74 = 144,144.65 : x
  2. Step 2: Convert to fraction form
    264,996.90/365,701.74 = 144,144.65/x
  3. Step 3: Cross multiply
    264,996.90x = 365,701.74 × 144,144.65
  4. Step 4: Simplify right side
    264,996.90x = 52,713,947,633.33
  5. Step 5: Solve for x
    x = 52,713,947,633.33/264,996.90
  6. Step 6: Final answer
    x = 198,922.88

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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.