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Finding the Fourth Proportional to 232,893.78, 321,509.43 and 157,835.94

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Solution

The fourth proportional to 232,893.78, 321,509.43 and 157,835.94 is: 217,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,893.78 : 321,509.43 = 157,835.94 : x
  2. Step 2: Convert to fraction form
    232,893.78/321,509.43 = 157,835.94/x
  3. Step 3: Cross multiply
    232,893.78x = 321,509.43 × 157,835.94
  4. Step 4: Simplify right side
    232,893.78x = 50,745,743,102.91
  5. Step 5: Solve for x
    x = 50,745,743,102.91/232,893.78
  6. Step 6: Final answer
    x = 217,892.22

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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.