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Finding the Fourth Proportional to 203,894.64, 281,377.88 and 114,468.72

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Solution

The fourth proportional to 203,894.64, 281,377.88 and 114,468.72 is: 157,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,894.64 : 281,377.88 = 114,468.72 : x
  2. Step 2: Convert to fraction form
    203,894.64/281,377.88 = 114,468.72/x
  3. Step 3: Cross multiply
    203,894.64x = 281,377.88 × 114,468.72
  4. Step 4: Simplify right side
    203,894.64x = 32,208,965,759.91
  5. Step 5: Solve for x
    x = 32,208,965,759.91/203,894.64
  6. Step 6: Final answer
    x = 157,968.67

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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.