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Finding the Fourth Proportional to 258,765, 388,147.50 and 71,776.50

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Solution

The fourth proportional to 258,765, 388,147.50 and 71,776.50 is: 107,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,765 : 388,147.50 = 71,776.50 : x
  2. Step 2: Convert to fraction form
    258,765/388,147.50 = 71,776.50/x
  3. Step 3: Cross multiply
    258,765x = 388,147.50 × 71,776.50
  4. Step 4: Simplify right side
    258,765x = 27,859,869,033.75
  5. Step 5: Solve for x
    x = 27,859,869,033.75/258,765
  6. Step 6: Final answer
    x = 107,664.75

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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.