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Finding the Fourth Proportional to 232,735.66, 349,130.83 and 82,997.24

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Solution

The fourth proportional to 232,735.66, 349,130.83 and 82,997.24 is: 124,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,735.66 : 349,130.83 = 82,997.24 : x
  2. Step 2: Convert to fraction form
    232,735.66/349,130.83 = 82,997.24/x
  3. Step 3: Cross multiply
    232,735.66x = 349,130.83 × 82,997.24
  4. Step 4: Simplify right side
    232,735.66x = 28,976,895,288.91
  5. Step 5: Solve for x
    x = 28,976,895,288.91/232,735.66
  6. Step 6: Final answer
    x = 124,505.61

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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.