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Finding the Fourth Proportional to 202,450.70, 303,949.65 and 118,297.10

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Solution

The fourth proportional to 202,450.70, 303,949.65 and 118,297.10 is: 177,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,450.70 : 303,949.65 = 118,297.10 : x
  2. Step 2: Convert to fraction form
    202,450.70/303,949.65 = 118,297.10/x
  3. Step 3: Cross multiply
    202,450.70x = 303,949.65 × 118,297.10
  4. Step 4: Simplify right side
    202,450.70x = 35,956,362,141.02
  5. Step 5: Solve for x
    x = 35,956,362,141.02/202,450.70
  6. Step 6: Final answer
    x = 177,605.52

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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.