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Finding the Fourth Proportional to 203,889.64, 281,370.98 and 114,463.72

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Solution

The fourth proportional to 203,889.64, 281,370.98 and 114,463.72 is: 157,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,889.64 : 281,370.98 = 114,463.72 : x
  2. Step 2: Convert to fraction form
    203,889.64/281,370.98 = 114,463.72/x
  3. Step 3: Cross multiply
    203,889.64x = 281,370.98 × 114,463.72
  4. Step 4: Simplify right side
    203,889.64x = 32,206,769,070.85
  5. Step 5: Solve for x
    x = 32,206,769,070.85/203,889.64
  6. Step 6: Final answer
    x = 157,961.77

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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.