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Finding the Fourth Proportional to 264,813.96, 396,997.18 and 114,940.92

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Solution

The fourth proportional to 264,813.96, 396,997.18 and 114,940.92 is: 172,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,813.96 : 396,997.18 = 114,940.92 : x
  2. Step 2: Convert to fraction form
    264,813.96/396,997.18 = 114,940.92/x
  3. Step 3: Cross multiply
    264,813.96x = 396,997.18 × 114,940.92
  4. Step 4: Simplify right side
    264,813.96x = 45,631,221,106.61
  5. Step 5: Solve for x
    x = 45,631,221,106.61/264,813.96
  6. Step 6: Final answer
    x = 172,314.26

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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.