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Finding the Fourth Proportional to 254,351.16, 381,504.60 and 96,580.80

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Solution

The fourth proportional to 254,351.16, 381,504.60 and 96,580.80 is: 144,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,351.16 : 381,504.60 = 96,580.80 : x
  2. Step 2: Convert to fraction form
    254,351.16/381,504.60 = 96,580.80/x
  3. Step 3: Cross multiply
    254,351.16x = 381,504.60 × 96,580.80
  4. Step 4: Simplify right side
    254,351.16x = 36,846,019,471.68
  5. Step 5: Solve for x
    x = 36,846,019,471.68/254,351.16
  6. Step 6: Final answer
    x = 144,862.79

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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.