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Finding the Fourth Proportional to 90,704.34, 135,830.22 and 57,323.70

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Solution

The fourth proportional to 90,704.34, 135,830.22 and 57,323.70 is: 85,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,704.34 : 135,830.22 = 57,323.70 : x
  2. Step 2: Convert to fraction form
    90,704.34/135,830.22 = 57,323.70/x
  3. Step 3: Cross multiply
    90,704.34x = 135,830.22 × 57,323.70
  4. Step 4: Simplify right side
    90,704.34x = 7,786,290,782.21
  5. Step 5: Solve for x
    x = 7,786,290,782.21/90,704.34
  6. Step 6: Final answer
    x = 85,842.54

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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.