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Finding the Fourth Proportional to 229,997.42, 344,879.46 and 105,231.50

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Solution

The fourth proportional to 229,997.42, 344,879.46 and 105,231.50 is: 157,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,997.42 : 344,879.46 = 105,231.50 : x
  2. Step 2: Convert to fraction form
    229,997.42/344,879.46 = 105,231.50/x
  3. Step 3: Cross multiply
    229,997.42x = 344,879.46 × 105,231.50
  4. Step 4: Simplify right side
    229,997.42x = 36,292,182,894.99
  5. Step 5: Solve for x
    x = 36,292,182,894.99/229,997.42
  6. Step 6: Final answer
    x = 157,793.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.