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Finding the Fourth Proportional to 179,491.72, 269,142.32 and 53,114.56

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Solution

The fourth proportional to 179,491.72, 269,142.32 and 53,114.56 is: 79,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,491.72 : 269,142.32 = 53,114.56 : x
  2. Step 2: Convert to fraction form
    179,491.72/269,142.32 = 53,114.56/x
  3. Step 3: Cross multiply
    179,491.72x = 269,142.32 × 53,114.56
  4. Step 4: Simplify right side
    179,491.72x = 14,295,375,971.69
  5. Step 5: Solve for x
    x = 14,295,375,971.69/179,491.72
  6. Step 6: Final answer
    x = 79,643.65

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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.