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Finding the Fourth Proportional to 204,295.50, 281,927.79 and 114,871.50

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Solution

The fourth proportional to 204,295.50, 281,927.79 and 114,871.50 is: 158,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,295.50 : 281,927.79 = 114,871.50 : x
  2. Step 2: Convert to fraction form
    204,295.50/281,927.79 = 114,871.50/x
  3. Step 3: Cross multiply
    204,295.50x = 281,927.79 × 114,871.50
  4. Step 4: Simplify right side
    204,295.50x = 32,385,468,128.99
  5. Step 5: Solve for x
    x = 32,385,468,128.99/204,295.50
  6. Step 6: Final answer
    x = 158,522.67

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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.