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Finding the Fourth Proportional to 203,529.89, 280,963.01 and 176,197.25

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Solution

The fourth proportional to 203,529.89, 280,963.01 and 176,197.25 is: 243,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,529.89 : 280,963.01 = 176,197.25 : x
  2. Step 2: Convert to fraction form
    203,529.89/280,963.01 = 176,197.25/x
  3. Step 3: Cross multiply
    203,529.89x = 280,963.01 × 176,197.25
  4. Step 4: Simplify right side
    203,529.89x = 49,504,909,713.72
  5. Step 5: Solve for x
    x = 49,504,909,713.72/203,529.89
  6. Step 6: Final answer
    x = 243,231.64

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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.