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Finding the Fourth Proportional to 204,595.86, 306,942.12 and 64,354.50

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Solution

The fourth proportional to 204,595.86, 306,942.12 and 64,354.50 is: 96,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,595.86 : 306,942.12 = 64,354.50 : x
  2. Step 2: Convert to fraction form
    204,595.86/306,942.12 = 64,354.50/x
  3. Step 3: Cross multiply
    204,595.86x = 306,942.12 × 64,354.50
  4. Step 4: Simplify right side
    204,595.86x = 19,753,106,661.54
  5. Step 5: Solve for x
    x = 19,753,106,661.54/204,595.86
  6. Step 6: Final answer
    x = 96,546.95

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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.