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Finding the Fourth Proportional to 230,694.28, 346,039.35 and 72,922.84

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Solution

The fourth proportional to 230,694.28, 346,039.35 and 72,922.84 is: 109,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,694.28 : 346,039.35 = 72,922.84 : x
  2. Step 2: Convert to fraction form
    230,694.28/346,039.35 = 72,922.84/x
  3. Step 3: Cross multiply
    230,694.28x = 346,039.35 × 72,922.84
  4. Step 4: Simplify right side
    230,694.28x = 25,234,172,153.75
  5. Step 5: Solve for x
    x = 25,234,172,153.75/230,694.28
  6. Step 6: Final answer
    x = 109,383.61

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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.