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Finding the Fourth Proportional to 203,832.96, 305,747.46 and 123,892.98

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Solution

The fourth proportional to 203,832.96, 305,747.46 and 123,892.98 is: 185,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,832.96 : 305,747.46 = 123,892.98 : x
  2. Step 2: Convert to fraction form
    203,832.96/305,747.46 = 123,892.98/x
  3. Step 3: Cross multiply
    203,832.96x = 305,747.46 × 123,892.98
  4. Step 4: Simplify right side
    203,832.96x = 37,879,963,946.83
  5. Step 5: Solve for x
    x = 37,879,963,946.83/203,832.96
  6. Step 6: Final answer
    x = 185,838.27

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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.