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Finding the Fourth Proportional to 202,046.10, 303,105.60 and 101,954.40

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Solution

The fourth proportional to 202,046.10, 303,105.60 and 101,954.40 is: 152,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,046.10 : 303,105.60 = 101,954.40 : x
  2. Step 2: Convert to fraction form
    202,046.10/303,105.60 = 101,954.40/x
  3. Step 3: Cross multiply
    202,046.10x = 303,105.60 × 101,954.40
  4. Step 4: Simplify right side
    202,046.10x = 30,902,949,584.64
  5. Step 5: Solve for x
    x = 30,902,949,584.64/202,046.10
  6. Step 6: Final answer
    x = 152,949.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.