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Finding the Fourth Proportional to 204,095.31, 306,137.31 and 54,336.90

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Solution

The fourth proportional to 204,095.31, 306,137.31 and 54,336.90 is: 81,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,095.31 : 306,137.31 = 54,336.90 : x
  2. Step 2: Convert to fraction form
    204,095.31/306,137.31 = 54,336.90/x
  3. Step 3: Cross multiply
    204,095.31x = 306,137.31 × 54,336.90
  4. Step 4: Simplify right side
    204,095.31x = 16,634,552,399.74
  5. Step 5: Solve for x
    x = 16,634,552,399.74/204,095.31
  6. Step 6: Final answer
    x = 81,503.84

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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.