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Finding the Fourth Proportional to 289,224.68, 433,961.15 and 111,856.14

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Solution

The fourth proportional to 289,224.68, 433,961.15 and 111,856.14 is: 167,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,224.68 : 433,961.15 = 111,856.14 : x
  2. Step 2: Convert to fraction form
    289,224.68/433,961.15 = 111,856.14/x
  3. Step 3: Cross multiply
    289,224.68x = 433,961.15 × 111,856.14
  4. Step 4: Simplify right side
    289,224.68x = 48,541,218,589.68
  5. Step 5: Solve for x
    x = 48,541,218,589.68/289,224.68
  6. Step 6: Final answer
    x = 167,832.22

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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.