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Finding the Fourth Proportional to 258,715, 388,137.09 and 90,237.75

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Solution

The fourth proportional to 258,715, 388,137.09 and 90,237.75 is: 135,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,715 : 388,137.09 = 90,237.75 : x
  2. Step 2: Convert to fraction form
    258,715/388,137.09 = 90,237.75/x
  3. Step 3: Cross multiply
    258,715x = 388,137.09 × 90,237.75
  4. Step 4: Simplify right side
    258,715x = 35,024,617,693.15
  5. Step 5: Solve for x
    x = 35,024,617,693.15/258,715
  6. Step 6: Final answer
    x = 135,379.15

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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.