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Finding the Fourth Proportional to 289,169.38, 433,684.21 and 111,563.11

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Solution

The fourth proportional to 289,169.38, 433,684.21 and 111,563.11 is: 167,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,169.38 : 433,684.21 = 111,563.11 : x
  2. Step 2: Convert to fraction form
    289,169.38/433,684.21 = 111,563.11/x
  3. Step 3: Cross multiply
    289,169.38x = 433,684.21 × 111,563.11
  4. Step 4: Simplify right side
    289,169.38x = 48,383,159,225.49
  5. Step 5: Solve for x
    x = 48,383,159,225.49/289,169.38
  6. Step 6: Final answer
    x = 167,317.71

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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.