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Finding the Fourth Proportional to 264,849, 365,491.62 and 145,617

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Solution

The fourth proportional to 264,849, 365,491.62 and 145,617 is: 200,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,849 : 365,491.62 = 145,617 : x
  2. Step 2: Convert to fraction form
    264,849/365,491.62 = 145,617/x
  3. Step 3: Cross multiply
    264,849x = 365,491.62 × 145,617
  4. Step 4: Simplify right side
    264,849x = 53,221,793,229.54
  5. Step 5: Solve for x
    x = 53,221,793,229.54/264,849
  6. Step 6: Final answer
    x = 200,951.46

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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.