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Finding the Fourth Proportional to 203,887, 281,364.06 and 114,463

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Solution

The fourth proportional to 203,887, 281,364.06 and 114,463 is: 157,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,887 : 281,364.06 = 114,463 : x
  2. Step 2: Convert to fraction form
    203,887/281,364.06 = 114,463/x
  3. Step 3: Cross multiply
    203,887x = 281,364.06 × 114,463
  4. Step 4: Simplify right side
    203,887x = 32,205,774,399.78
  5. Step 5: Solve for x
    x = 32,205,774,399.78/203,887
  6. Step 6: Final answer
    x = 157,958.94

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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.