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Finding the Fourth Proportional to 202,020.50, 303,074.50 and 77,361.50

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Solution

The fourth proportional to 202,020.50, 303,074.50 and 77,361.50 is: 116,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,020.50 : 303,074.50 = 77,361.50 : x
  2. Step 2: Convert to fraction form
    202,020.50/303,074.50 = 77,361.50/x
  3. Step 3: Cross multiply
    202,020.50x = 303,074.50 × 77,361.50
  4. Step 4: Simplify right side
    202,020.50x = 23,446,297,931.75
  5. Step 5: Solve for x
    x = 23,446,297,931.75/202,020.50
  6. Step 6: Final answer
    x = 116,059.00

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