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Finding the Fourth Proportional to 273,091.92, 409,637.88 and 86,122.32

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Solution

The fourth proportional to 273,091.92, 409,637.88 and 86,122.32 is: 129,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,091.92 : 409,637.88 = 86,122.32 : x
  2. Step 2: Convert to fraction form
    273,091.92/409,637.88 = 86,122.32/x
  3. Step 3: Cross multiply
    273,091.92x = 409,637.88 × 86,122.32
  4. Step 4: Simplify right side
    273,091.92x = 35,278,964,585.48
  5. Step 5: Solve for x
    x = 35,278,964,585.48/273,091.92
  6. Step 6: Final answer
    x = 129,183.48

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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.