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Finding the Fourth Proportional to 258,800, 388,200.18 and 71,811.68

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Solution

The fourth proportional to 258,800, 388,200.18 and 71,811.68 is: 107,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,800 : 388,200.18 = 71,811.68 : x
  2. Step 2: Convert to fraction form
    258,800/388,200.18 = 71,811.68/x
  3. Step 3: Cross multiply
    258,800x = 388,200.18 × 71,811.68
  4. Step 4: Simplify right side
    258,800x = 27,877,307,102.10
  5. Step 5: Solve for x
    x = 27,877,307,102.10/258,800
  6. Step 6: Final answer
    x = 107,717.57

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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.