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Finding the Fourth Proportional to 204,294.60, 306,347.20 and 76,176.49

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Solution

The fourth proportional to 204,294.60, 306,347.20 and 76,176.49 is: 114,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,294.60 : 306,347.20 = 76,176.49 : x
  2. Step 2: Convert to fraction form
    204,294.60/306,347.20 = 76,176.49/x
  3. Step 3: Cross multiply
    204,294.60x = 306,347.20 × 76,176.49
  4. Step 4: Simplify right side
    204,294.60x = 23,336,454,417.33
  5. Step 5: Solve for x
    x = 23,336,454,417.33/204,294.60
  6. Step 6: Final answer
    x = 114,229.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.