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Finding the Fourth Proportional to 296,099.96, 408,628.44 and 168,755

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Solution

The fourth proportional to 296,099.96, 408,628.44 and 168,755 is: 232,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,099.96 : 408,628.44 = 168,755 : x
  2. Step 2: Convert to fraction form
    296,099.96/408,628.44 = 168,755/x
  3. Step 3: Cross multiply
    296,099.96x = 408,628.44 × 168,755
  4. Step 4: Simplify right side
    296,099.96x = 68,958,092,392.20
  5. Step 5: Solve for x
    x = 68,958,092,392.20/296,099.96
  6. Step 6: Final answer
    x = 232,887.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.