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Finding the Fourth Proportional to 254,707.44, 381,716.51 and 96,849.78

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Solution

The fourth proportional to 254,707.44, 381,716.51 and 96,849.78 is: 145,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,707.44 : 381,716.51 = 96,849.78 : x
  2. Step 2: Convert to fraction form
    254,707.44/381,716.51 = 96,849.78/x
  3. Step 3: Cross multiply
    254,707.44x = 381,716.51 × 96,849.78
  4. Step 4: Simplify right side
    254,707.44x = 36,969,159,531.62
  5. Step 5: Solve for x
    x = 36,969,159,531.62/254,707.44
  6. Step 6: Final answer
    x = 145,143.62

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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.