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Finding the Fourth Proportional to 264,645.81, 396,983.92 and 75,091.35

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Solution

The fourth proportional to 264,645.81, 396,983.92 and 75,091.35 is: 112,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,645.81 : 396,983.92 = 75,091.35 : x
  2. Step 2: Convert to fraction form
    264,645.81/396,983.92 = 75,091.35/x
  3. Step 3: Cross multiply
    264,645.81x = 396,983.92 × 75,091.35
  4. Step 4: Simplify right side
    264,645.81x = 29,810,056,496.17
  5. Step 5: Solve for x
    x = 29,810,056,496.17/264,645.81
  6. Step 6: Final answer
    x = 112,641.33

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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.