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Finding the Fourth Proportional to 201,704.80, 290,828.16 and 201,704.80

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Solution

The fourth proportional to 201,704.80, 290,828.16 and 201,704.80 is: 290,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,704.80 : 290,828.16 = 201,704.80 : x
  2. Step 2: Convert to fraction form
    201,704.80/290,828.16 = 201,704.80/x
  3. Step 3: Cross multiply
    201,704.80x = 290,828.16 × 201,704.80
  4. Step 4: Simplify right side
    201,704.80x = 58,661,435,847.17
  5. Step 5: Solve for x
    x = 58,661,435,847.17/201,704.80
  6. Step 6: Final answer
    x = 290,828.16

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.