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Finding the Fourth Proportional to 254,540.40, 381,695.40 and 96,716.40

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Solution

The fourth proportional to 254,540.40, 381,695.40 and 96,716.40 is: 145,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,540.40 : 381,695.40 = 96,716.40 : x
  2. Step 2: Convert to fraction form
    254,540.40/381,695.40 = 96,716.40/x
  3. Step 3: Cross multiply
    254,540.40x = 381,695.40 × 96,716.40
  4. Step 4: Simplify right side
    254,540.40x = 36,916,204,984.56
  5. Step 5: Solve for x
    x = 36,916,204,984.56/254,540.40
  6. Step 6: Final answer
    x = 145,030.83

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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.