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Finding the Fourth Proportional to 230,774.28, 346,456.68 and 195,935.28

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Solution

The fourth proportional to 230,774.28, 346,456.68 and 195,935.28 is: 294,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,774.28 : 346,456.68 = 195,935.28 : x
  2. Step 2: Convert to fraction form
    230,774.28/346,456.68 = 195,935.28/x
  3. Step 3: Cross multiply
    230,774.28x = 346,456.68 × 195,935.28
  4. Step 4: Simplify right side
    230,774.28x = 67,883,086,603.67
  5. Step 5: Solve for x
    x = 67,883,086,603.67/230,774.28
  6. Step 6: Final answer
    x = 294,153.61

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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.