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Finding the Fourth Proportional to 203,713.94, 281,119.86 and 113,069.67

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Solution

The fourth proportional to 203,713.94, 281,119.86 and 113,069.67 is: 156,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,713.94 : 281,119.86 = 113,069.67 : x
  2. Step 2: Convert to fraction form
    203,713.94/281,119.86 = 113,069.67/x
  3. Step 3: Cross multiply
    203,713.94x = 281,119.86 × 113,069.67
  4. Step 4: Simplify right side
    203,713.94x = 31,786,129,800.65
  5. Step 5: Solve for x
    x = 31,786,129,800.65/203,713.94
  6. Step 6: Final answer
    x = 156,033.16

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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.