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Finding the Fourth Proportional to 192,558.76, 288,906.54 and 85,933.02

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Solution

The fourth proportional to 192,558.76, 288,906.54 and 85,933.02 is: 128,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,558.76 : 288,906.54 = 85,933.02 : x
  2. Step 2: Convert to fraction form
    192,558.76/288,906.54 = 85,933.02/x
  3. Step 3: Cross multiply
    192,558.76x = 288,906.54 × 85,933.02
  4. Step 4: Simplify right side
    192,558.76x = 24,826,611,479.95
  5. Step 5: Solve for x
    x = 24,826,611,479.95/192,558.76
  6. Step 6: Final answer
    x = 128,930.05

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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.