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Finding the Fourth Proportional to 230,930.88, 346,406.10 and 73,155.84

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Solution

The fourth proportional to 230,930.88, 346,406.10 and 73,155.84 is: 109,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,930.88 : 346,406.10 = 73,155.84 : x
  2. Step 2: Convert to fraction form
    230,930.88/346,406.10 = 73,155.84/x
  3. Step 3: Cross multiply
    230,930.88x = 346,406.10 × 73,155.84
  4. Step 4: Simplify right side
    230,930.88x = 25,341,629,226.62
  5. Step 5: Solve for x
    x = 25,341,629,226.62/230,930.88
  6. Step 6: Final answer
    x = 109,736.86

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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.