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Finding the Fourth Proportional to 203,883, 281,358.54 and 114,459

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Solution

The fourth proportional to 203,883, 281,358.54 and 114,459 is: 157,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,883 : 281,358.54 = 114,459 : x
  2. Step 2: Convert to fraction form
    203,883/281,358.54 = 114,459/x
  3. Step 3: Cross multiply
    203,883x = 281,358.54 × 114,459
  4. Step 4: Simplify right side
    203,883x = 32,204,017,129.86
  5. Step 5: Solve for x
    x = 32,204,017,129.86/203,883
  6. Step 6: Final answer
    x = 157,953.42

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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.