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Finding the Fourth Proportional to 289,171.76, 433,687.77 and 111,565.49

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Solution

The fourth proportional to 289,171.76, 433,687.77 and 111,565.49 is: 167,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,171.76 : 433,687.77 = 111,565.49 : x
  2. Step 2: Convert to fraction form
    289,171.76/433,687.77 = 111,565.49/x
  3. Step 3: Cross multiply
    289,171.76x = 433,687.77 × 111,565.49
  4. Step 4: Simplify right side
    289,171.76x = 48,384,586,398.62
  5. Step 5: Solve for x
    x = 48,384,586,398.62/289,171.76
  6. Step 6: Final answer
    x = 167,321.27

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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.