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Finding the Fourth Proportional to 254,090.40, 381,286.80 and 96,334.80

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Solution

The fourth proportional to 254,090.40, 381,286.80 and 96,334.80 is: 144,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,090.40 : 381,286.80 = 96,334.80 : x
  2. Step 2: Convert to fraction form
    254,090.40/381,286.80 = 96,334.80/x
  3. Step 3: Cross multiply
    254,090.40x = 381,286.80 × 96,334.80
  4. Step 4: Simplify right side
    254,090.40x = 36,731,187,620.64
  5. Step 5: Solve for x
    x = 36,731,187,620.64/254,090.40
  6. Step 6: Final answer
    x = 144,559.53

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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.