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Finding the Fourth Proportional to 264,774.48, 396,938.49 and 114,901.86

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Solution

The fourth proportional to 264,774.48, 396,938.49 and 114,901.86 is: 172,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,774.48 : 396,938.49 = 114,901.86 : x
  2. Step 2: Convert to fraction form
    264,774.48/396,938.49 = 114,901.86/x
  3. Step 3: Cross multiply
    264,774.48x = 396,938.49 × 114,901.86
  4. Step 4: Simplify right side
    264,774.48x = 45,608,970,232.08
  5. Step 5: Solve for x
    x = 45,608,970,232.08/264,774.48
  6. Step 6: Final answer
    x = 172,255.92

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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.