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Finding the Fourth Proportional to 204,419.69, 306,605.38 and 54,671.58

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Solution

The fourth proportional to 204,419.69, 306,605.38 and 54,671.58 is: 82,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,419.69 : 306,605.38 = 54,671.58 : x
  2. Step 2: Convert to fraction form
    204,419.69/306,605.38 = 54,671.58/x
  3. Step 3: Cross multiply
    204,419.69x = 306,605.38 × 54,671.58
  4. Step 4: Simplify right side
    204,419.69x = 16,762,600,561.10
  5. Step 5: Solve for x
    x = 16,762,600,561.10/204,419.69
  6. Step 6: Final answer
    x = 82,000.91

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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.