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Finding the Fourth Proportional to 230,784.30, 346,176.45 and 188,793.90

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Solution

The fourth proportional to 230,784.30, 346,176.45 and 188,793.90 is: 283,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,784.30 : 346,176.45 = 188,793.90 : x
  2. Step 2: Convert to fraction form
    230,784.30/346,176.45 = 188,793.90/x
  3. Step 3: Cross multiply
    230,784.30x = 346,176.45 × 188,793.90
  4. Step 4: Simplify right side
    230,784.30x = 65,356,002,083.66
  5. Step 5: Solve for x
    x = 65,356,002,083.66/230,784.30
  6. Step 6: Final answer
    x = 283,190.85

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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.