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Finding the Fourth Proportional to 194,735.10, 273,022.80 and 194,735.10

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Solution

The fourth proportional to 194,735.10, 273,022.80 and 194,735.10 is: 273,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,735.10 : 273,022.80 = 194,735.10 : x
  2. Step 2: Convert to fraction form
    194,735.10/273,022.80 = 194,735.10/x
  3. Step 3: Cross multiply
    194,735.10x = 273,022.80 × 194,735.10
  4. Step 4: Simplify right side
    194,735.10x = 53,167,122,260.28
  5. Step 5: Solve for x
    x = 53,167,122,260.28/194,735.10
  6. Step 6: Final answer
    x = 273,022.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.