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Finding the Fourth Proportional to 203,692, 281,096.88 and 114,269.92

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Solution

The fourth proportional to 203,692, 281,096.88 and 114,269.92 is: 157,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,692 : 281,096.88 = 114,269.92 : x
  2. Step 2: Convert to fraction form
    203,692/281,096.88 = 114,269.92/x
  3. Step 3: Cross multiply
    203,692x = 281,096.88 × 114,269.92
  4. Step 4: Simplify right side
    203,692x = 32,120,917,989.85
  5. Step 5: Solve for x
    x = 32,120,917,989.85/203,692
  6. Step 6: Final answer
    x = 157,693.57

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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.