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Finding the Fourth Proportional to 254,461.97, 381,580.85 and 119,564.42

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Solution

The fourth proportional to 254,461.97, 381,580.85 and 119,564.42 is: 179,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,461.97 : 381,580.85 = 119,564.42 : x
  2. Step 2: Convert to fraction form
    254,461.97/381,580.85 = 119,564.42/x
  3. Step 3: Cross multiply
    254,461.97x = 381,580.85 × 119,564.42
  4. Step 4: Simplify right side
    254,461.97x = 45,623,491,105.45
  5. Step 5: Solve for x
    x = 45,623,491,105.45/254,461.97
  6. Step 6: Final answer
    x = 179,293.95

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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.