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Finding the Fourth Proportional to 264,102.80, 396,205.40 and 132,774.80

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Solution

The fourth proportional to 264,102.80, 396,205.40 and 132,774.80 is: 199,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,102.80 : 396,205.40 = 132,774.80 : x
  2. Step 2: Convert to fraction form
    264,102.80/396,205.40 = 132,774.80/x
  3. Step 3: Cross multiply
    264,102.80x = 396,205.40 × 132,774.80
  4. Step 4: Simplify right side
    264,102.80x = 52,606,092,743.92
  5. Step 5: Solve for x
    x = 52,606,092,743.92/264,102.80
  6. Step 6: Final answer
    x = 199,187.94

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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.