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Finding the Fourth Proportional to 254,505.28, 381,757.92 and 96,696.40

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Solution

The fourth proportional to 254,505.28, 381,757.92 and 96,696.40 is: 145,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,505.28 : 381,757.92 = 96,696.40 : x
  2. Step 2: Convert to fraction form
    254,505.28/381,757.92 = 96,696.40/x
  3. Step 3: Cross multiply
    254,505.28x = 381,757.92 × 96,696.40
  4. Step 4: Simplify right side
    254,505.28x = 36,914,616,535.49
  5. Step 5: Solve for x
    x = 36,914,616,535.49/254,505.28
  6. Step 6: Final answer
    x = 145,044.60

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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.