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Finding the Fourth Proportional to 194,865.84, 269,096.60 and 143,427.60

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Solution

The fourth proportional to 194,865.84, 269,096.60 and 143,427.60 is: 198,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,865.84 : 269,096.60 = 143,427.60 : x
  2. Step 2: Convert to fraction form
    194,865.84/269,096.60 = 143,427.60/x
  3. Step 3: Cross multiply
    194,865.84x = 269,096.60 × 143,427.60
  4. Step 4: Simplify right side
    194,865.84x = 38,595,879,506.16
  5. Step 5: Solve for x
    x = 38,595,879,506.16/194,865.84
  6. Step 6: Final answer
    x = 198,063.86

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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.