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Finding the Fourth Proportional to 264,678.08, 396,793.86 and 114,805.48

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Solution

The fourth proportional to 264,678.08, 396,793.86 and 114,805.48 is: 172,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,678.08 : 396,793.86 = 114,805.48 : x
  2. Step 2: Convert to fraction form
    264,678.08/396,793.86 = 114,805.48/x
  3. Step 3: Cross multiply
    264,678.08x = 396,793.86 × 114,805.48
  4. Step 4: Simplify right side
    264,678.08x = 45,554,109,558.35
  5. Step 5: Solve for x
    x = 45,554,109,558.35/264,678.08
  6. Step 6: Final answer
    x = 172,111.38

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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.