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Finding the Fourth Proportional to 264,156.37, 396,262.26 and 114,411.80

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Solution

The fourth proportional to 264,156.37, 396,262.26 and 114,411.80 is: 171,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,156.37 : 396,262.26 = 114,411.80 : x
  2. Step 2: Convert to fraction form
    264,156.37/396,262.26 = 114,411.80/x
  3. Step 3: Cross multiply
    264,156.37x = 396,262.26 × 114,411.80
  4. Step 4: Simplify right side
    264,156.37x = 45,337,079,429.32
  5. Step 5: Solve for x
    x = 45,337,079,429.32/264,156.37
  6. Step 6: Final answer
    x = 171,629.71

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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.