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Finding the Fourth Proportional to 205,231.20, 307,846.80 and 94,639.20

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Solution

The fourth proportional to 205,231.20, 307,846.80 and 94,639.20 is: 141,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,231.20 : 307,846.80 = 94,639.20 : x
  2. Step 2: Convert to fraction form
    205,231.20/307,846.80 = 94,639.20/x
  3. Step 3: Cross multiply
    205,231.20x = 307,846.80 × 94,639.20
  4. Step 4: Simplify right side
    205,231.20x = 29,134,374,874.56
  5. Step 5: Solve for x
    x = 29,134,374,874.56/205,231.20
  6. Step 6: Final answer
    x = 141,958.80

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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.